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40349900016 = 24322838771129
BaseRepresentation
bin100101100101000010…
…101001110011110000
310212011001110022002100
4211211002221303300
51130114033300031
630311514220400
72625623330316
oct454502516360
9125131408070
1040349900016
1116126515108
1279a1124700
133a607020aa
141d4ac500b6
1510b25a0de6
hex9650a9cf0

40349900016 has 120 divisors (see below), whose sum is σ = 113552407280. Its totient is φ = 13375300608.

The previous prime is 40349900009. The next prime is 40349900093. The reversal of 40349900016 is 61000994304.

It is a super-2 number, since 2×403499000162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35738940 + ... + 35740068.

Almost surely, 240349900016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40349900016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56776203640).

40349900016 is an abundant number, since it is smaller than the sum of its proper divisors (73202507264).

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

40349900016 is a wasteful number, since it uses less digits than its factorization.

40349900016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 40349900016 in words is "forty billion, three hundred forty-nine million, nine hundred thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 283 566 849 877 1129 1132 1698 1754 2258 2264 2547 2631 3387 3396 3508 4516 4528 5094 5262 6774 6792 7016 7893 9032 10161 10188 10524 13548 13584 14032 15786 18064 20322 20376 21048 27096 31572 40644 40752 42096 54192 63144 81288 126288 162576 248191 319507 496382 639014 744573 958521 990133 992764 1278028 1489146 1917042 1980266 1985528 2233719 2556056 2875563 2970399 2978292 3834084 3960532 3971056 4467438 5112112 5751126 5940798 5956584 7668168 7921064 8911197 8934876 11502252 11881596 11913168 15336336 15842128 17822394 17869752 23004504 23763192 35644788 35739504 46009008 47526384 71289576 142579152 280207639 560415278 840622917 1120830556 1681245834 2241661112 2521868751 3362491668 4483322224 5043737502 6724983336 10087475004 13449966672 20174950008 40349900016