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40384034336 = 2553711512221
BaseRepresentation
bin100101100111000100…
…110111011000100000
310212020102200111120102
4211213010313120200
51130201303044321
630315134001532
72626516425302
oct454704673040
9125212614512
1040384034336
1116143809798
1279b06462a8
133a677c3b09
141d515b7972
1510b5594c0b
hex967137620

40384034336 has 96 divisors (see below), whose sum is σ = 82728366336. Its totient is φ = 19393920000.

The previous prime is 40384034333. The next prime is 40384034351. The reversal of 40384034336 is 63343048304.

It is a self number, because there is not a number n which added to its sum of digits gives 40384034336.

It is not an unprimeable number, because it can be changed into a prime (40384034333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18181706 + ... + 18183926.

It is an arithmetic number, because the mean of its divisors is an integer number (861753816).

Almost surely, 240384034336 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 40384034336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41364183168).

40384034336 is an abundant number, since it is smaller than the sum of its proper divisors (42344332000).

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

40384034336 is a wasteful number, since it uses less digits than its factorization.

40384034336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 38.

The spelling of 40384034336 in words is "forty billion, three hundred eighty-four million, thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 53 71 106 142 151 212 284 302 424 568 604 848 1136 1208 1696 2221 2272 2416 3763 4442 4832 7526 8003 8884 10721 15052 16006 17768 21442 30104 32012 35536 42884 60208 64024 71072 85768 117713 120416 128048 157691 171536 235426 256096 315382 335371 343072 470852 568213 630764 670742 941704 1136426 1261528 1341484 1883408 2272852 2523056 2682968 3766816 4545704 5046112 5365936 8357623 9091408 10731872 16715246 17774663 18182816 23811341 33430492 35549326 47622682 66860984 71098652 95245364 133721968 142197304 190490728 267443936 284394608 380981456 568789216 761962912 1262001073 2524002146 5048004292 10096008584 20192017168 40384034336