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40082954128 = 2472232976651
BaseRepresentation
bin100101010101001000…
…010101011110010000
310211110110011001011121
4211111020111132100
51124042214013003
630225220452024
72616202326400
oct452510253620
9124413131147
1040082954128
1115aa9867778
12792784a014
133a1a308449
141d23602800
151098e20cbd
hex955215790

40082954128 has 120 divisors (see below), whose sum is σ = 97519740480. Its totient is φ = 15864710400.

The previous prime is 40082954123. The next prime is 40082954141. The reversal of 40082954128 is 82145928004.

It is not an unprimeable number, because it can be changed into a prime (40082954123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484603 + ... + 561253.

It is an arithmetic number, because the mean of its divisors is an integer number (812664504).

Almost surely, 240082954128 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 40082954128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48759870240).

40082954128 is an abundant number, since it is smaller than the sum of its proper divisors (57436786352).

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

40082954128 is a wasteful number, since it uses less digits than its factorization.

40082954128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76725 (or 76712 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 40082954128 in words is "forty billion, eighty-two million, nine hundred fifty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 29 46 49 56 58 92 98 112 116 161 184 196 203 232 322 368 392 406 464 644 667 784 812 1127 1288 1334 1421 1624 2254 2576 2668 2842 3248 4508 4669 5336 5684 9016 9338 10672 11368 18032 18676 22736 32683 37352 65366 74704 76651 130732 153302 261464 306604 522928 536557 613208 1073114 1226416 1762973 2146228 2222879 3525946 3755899 4292456 4445758 7051892 7511798 8584912 8891516 12340811 14103784 15023596 15560153 17783032 24681622 28207568 30047192 31120306 35566064 49363244 51126217 60094384 62240612 86385677 98726488 102252434 108921071 124481224 172771354 197452976 204504868 217842142 248962448 345542708 357883519 409009736 435684284 691085416 715767038 818019472 871368568 1382170832 1431534076 1742737136 2505184633 2863068152 5010369266 5726136304 10020738532 20041477064 40082954128