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40244023143414 = 2344767325324251
BaseRepresentation
bin10010010011010000010101…
…01101000010101111110110
312021111021212011112002120000
421021220022231002233312
520233324224411042124
6221331503215052130
711322351260405436
oct1111501255025766
9167437764462500
1040244023143414
11119064379a5522
12461b689b11046
13195bcc2301a0c
149d1b6d1c42c6
1549bc8ce706c9
hex249a0ab42bf6

40244023143414 has 160 divisors (see below), whose sum is σ = 93502211590656. Its totient is φ = 12928787784000.

The previous prime is 40244023143383. The next prime is 40244023143463. The reversal of 40244023143414 is 41434132044204.

40244023143414 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 4 + 0 + 231 + 4 + 3 + 414 = 666.

It is a super-2 number, since 2×402440231434142 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1659466789 + ... + 1659491039.

Almost surely, 240244023143414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40244023143414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46751105795328).

40244023143414 is an abundant number, since it is smaller than the sum of its proper divisors (53258188447242).

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

40244023143414 is a wasteful number, since it uses less digits than its factorization.

40244023143414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27632 (or 27623 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 40244023143414 its reverse (41434132044204), we get a palindrome (81678155187618).

The spelling of 40244023143414 in words is "forty trillion, two hundred forty-four billion, twenty-three million, one hundred forty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 47 54 67 81 94 134 141 162 201 282 402 423 603 846 1206 1269 1809 2538 3149 3253 3618 3807 5427 6298 6506 7614 9447 9759 10854 18894 19518 24251 28341 29277 48502 56682 58554 72753 85023 87831 145506 152891 170046 175662 217951 218259 255069 263493 305782 435902 436518 458673 510138 526986 653853 654777 917346 1139797 1307706 1309554 1376019 1624817 1961559 1964331 2279594 2752038 3249634 3419391 3923118 3928662 4128057 4874451 5884677 6838782 8256114 9748902 10243697 10258173 11769354 12384171 14623353 17654031 20487394 20516346 24768342 29246706 30731091 30774519 35308062 43870059 61462182 61549038 76366399 78888503 87740118 92193273 92323557 131610177 152732798 157777006 184386546 184647114 229099197 236665509 263220354 276579819 458198394 473331018 553159638 687297591 709996527 829739457 1374595182 1419993054 1659478914 2061892773 2129989581 3707759641 4123785546 4259979162 5285529701 6185678319 6389968743 7415519282 10571059402 11123278923 12371356638 12779937486 15856589103 22246557846 31713178206 33369836769 47569767309 66739673538 95139534618 100109510307 142709301927 200219020614 248419895947 285418603854 300328530921 428127905781 496839791894 600657061842 745259687841 856255811562 1490519375682 2235779063523 4471558127046 6707337190569 13414674381138 20122011571707 40244023143414