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140046444155412 = 223223892063921197
BaseRepresentation
bin11111110101111100011010…
…100011100101001000010100
3200100212022100111010002110100
4133311330122203211020110
5121324010104200433122
61213504240454254100
741333010304063014
oct3765743243451024
9610768314102410
10140046444155412
11406943aa7a4663
1213859b32957330
13601b427890372
1426823d9683c44
15112cde1ae2aac
hex7f5f1a8e5214

140046444155412 has 144 divisors (see below), whose sum is σ = 373729881208320. Its totient is φ = 44129326923264.

The previous prime is 140046444155411. The next prime is 140046444155459. The reversal of 140046444155412 is 214551444640041.

140046444155412 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 4 + 6 + 44 + 41 + 554 + 12 = 666.

It is a super-2 number, since 2×1400464441554122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140046444155411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151565998 + ... + 152487194.

It is an arithmetic number, because the mean of its divisors is an integer number (2595346397280).

Almost surely, 2140046444155412 is an apocalyptic number.

140046444155412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140046444155412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186864940604160).

140046444155412 is an abundant number, since it is smaller than the sum of its proper divisors (233683437052908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

140046444155412 is a wasteful number, since it uses less digits than its factorization.

140046444155412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923382 (or 923377 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

Adding to 140046444155412 its reverse (214551444640041), we get a palindrome (354597888795453).

The spelling of 140046444155412 in words is "one hundred forty trillion, forty-six billion, four hundred forty-four million, one hundred fifty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 89 92 138 178 207 267 276 356 414 534 801 828 1068 1602 2047 2063 3204 4094 4126 6141 6189 8188 8252 12282 12378 18423 18567 24564 24756 36846 37134 47449 73692 74268 94898 142347 183607 189796 284694 367214 427041 550821 569388 734428 854082 921197 1101642 1652463 1708164 1842394 2203284 2763591 3304926 3684788 4222961 5527182 6609852 8290773 8445922 11054364 12668883 16581546 16891844 21187531 25337766 33163092 38006649 42375062 50675532 63562593 76013298 81986533 84750124 127125186 152026596 163973066 190687779 245959599 254250372 327946132 381375558 491919198 737878797 762751116 983838396 1475757594 1885690259 1900429411 2951515188 3771380518 3800858822 5657070777 5701288233 7542761036 7601717644 11314141554 11402576466 16971212331 17103864699 22628283108 22805152932 33942424662 34207729398 43709876453 67884849324 68415458796 87419752906 131129629359 169138217579 174839505812 262259258718 338276435158 393388888077 507414652737 524518517436 676552870316 786777776154 1014829305474 1522243958211 1573555552308 2029658610948 3044487916422 3890179004317 6088975832844 7780358008634 11670537012951 15560716017268 23341074025902 35011611038853 46682148051804 70023222077706 140046444155412