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140409775611378 = 232721330494016317
BaseRepresentation
bin11111111011001110110010…
…110011000101110111110010
3200102011001011200100102101200
4133323032302303011313302
5121400433210024031003
61214343205504312030
741401162063356600
oct3773166263056762
9612131150312350
10140409775611378
11408144a6948109
12138b8431912616
13604677b3c3070
142695c258c2870
1511375a921c6a3
hex7fb3b2cc5df2

140409775611378 has 144 divisors (see below), whose sum is σ = 381237338827800. Its totient is φ = 37018995052032.

The previous prime is 140409775611373. The next prime is 140409775611379. The reversal of 140409775611378 is 873116577904041.

It is a happy number.

140409775611378 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 0 + 9 + 7 + 7 + 5 + 611 + 3 + 7 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68980283760969 + 71429491850409 = 8305437^2 + 8451597^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (140409775611373) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32951676 + ... + 36967992.

Almost surely, 2140409775611378 is an apocalyptic number.

140409775611378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140409775611378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190618669413900).

140409775611378 is an abundant number, since it is smaller than the sum of its proper divisors (240827563216422).

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

140409775611378 is a wasteful number, since it uses less digits than its factorization.

140409775611378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4019401 (or 4019391 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 140409775611378 in words is "one hundred forty trillion, four hundred nine billion, seven hundred seventy-five million, six hundred eleven thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 882 1274 1638 1911 3049 3822 5733 6098 9147 11466 18294 21343 27441 39637 42686 54882 64029 79274 118911 128058 149401 192087 237822 277459 298802 356733 384174 448203 554918 713466 832377 896406 1344609 1664754 1942213 2497131 2689218 3884426 4016317 4994262 5826639 8032634 11653278 12048951 17479917 24097902 28114219 34959834 36146853 52212121 56228438 72293706 84342657 104424242 156636363 168685314 196799533 253027971 313272726 365484847 393599066 469909089 506055942 590398599 730969694 939818178 1096454541 1180797198 1771195797 2192909082 2558393929 3289363623 3542391594 5116787858 6578727246 7675181787 12245750533 15350363574 23025545361 24491501066 36737251599 46051090722 73474503198 85720253731 110211754797 159194756929 171440507462 220423509594 257160761193 318389513858 477584270787 514321522386 600041776117 771482283579 955168541574 1114363298503 1200083552234 1432752812361 1542964567158 1800125328351 2228726597006 2865505624722 3343089895509 3600250656702 5400375985053 6686179791018 7800543089521 10029269686527 10800751970106 15601086179042 20058539373054 23401629268563 46803258537126 70204887805689 140409775611378