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40400000316 = 22341342122783
BaseRepresentation
bin100101101000000001…
…110001010100111100
310212021112201122210000
4211220001301110330
51130214400002231
630320504114300
72630102223324
oct455001612474
9125245648700
1040400000316
1116151824215
1279b5a65990
133a6abc4040
141d53772284
1510b6b9a6e6
hex96807153c

40400000316 has 120 divisors (see below), whose sum is σ = 114012867584. Its totient is φ = 12400698240.

The previous prime is 40400000309. The next prime is 40400000413. The reversal of 40400000316 is 61300000404.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1761861 + ... + 1784643.

Almost surely, 240400000316 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 40400000316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57006433792).

40400000316 is an abundant number, since it is smaller than the sum of its proper divisors (73612867268).

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

40400000316 is a wasteful number, since it uses less digits than its factorization.

40400000316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23233 (or 23222 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The spelling of 40400000316 in words is "forty billion, four hundred million, three hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 421 468 702 842 1053 1263 1404 1684 2106 2526 3789 4212 5052 5473 7578 10946 11367 15156 16419 21892 22734 22783 32838 34101 45468 45566 49257 65676 68202 68349 91132 98514 136404 136698 147771 197028 205047 273396 295542 296179 410094 443313 591084 592358 615141 820188 886626 888537 1184716 1230282 1773252 1777074 1845423 2460564 2665611 3554148 3690846 5331222 7381692 7996833 9591643 10662444 15993666 19183286 23990499 28774929 31987332 38366572 47980998 57549858 86324787 95961996 115099716 124691359 172649574 249382718 258974361 345299148 374074077 498765436 517948722 748148154 776923083 1035897444 1122222231 1496296308 1553846166 2244444462 3107692332 3366666693 4488888924 6733333386 10100000079 13466666772 20200000158 40400000316