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40036137984 = 2103212313529
BaseRepresentation
bin100101010010010101…
…101111110000000000
310211100012001112111100
4211102111233300000
51123443222403414
630220425214400
72615063362233
oct452225576000
9124305045440
1040036137984
1115a853a1047
127914031400
133a106c629b
141d1b2d741a
151094c74609
hex95256fc00

40036137984 has 132 divisors (see below), whose sum is σ = 115730174560. Its totient is φ = 13330759680.

The previous prime is 40036137979. The next prime is 40036137989. The reversal of 40036137984 is 48973163004.

40036137984 is a `hidden beast` number, since 400 + 36 + 137 + 9 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (40036137979) and next prime (40036137989).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40036137989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11343132 + ... + 11346660.

Almost surely, 240036137984 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 40036137984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57865087280).

40036137984 is an abundant number, since it is smaller than the sum of its proper divisors (75694036576).

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

40036137984 is a wasteful number, since it uses less digits than its factorization.

40036137984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4786 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 40036137984 in words is "forty billion, thirty-six million, one hundred thirty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1231 1536 2304 2462 3072 3529 3693 4608 4924 7058 7386 9216 9848 10587 11079 14116 14772 19696 21174 22158 28232 29544 31761 39392 42348 44316 56464 59088 63522 78784 84696 88632 112928 118176 127044 157568 169392 177264 225856 236352 254088 315136 338784 354528 451712 472704 508176 630272 677568 709056 903424 945408 1016352 1260544 1355136 1418112 1806848 1890816 2032704 2710272 2836224 3613696 3781632 4065408 4344199 5420544 5672448 8130816 8688398 10841088 11344896 13032597 16261632 17376796 26065194 32523264 34753592 39097791 52130388 69507184 78195582 104260776 139014368 156391164 208521552 278028736 312782328 417043104 556057472 625564656 834086208 1112114944 1251129312 1668172416 2224229888 2502258624 3336344832 4448459776 5004517248 6672689664 10009034496 13345379328 20018068992 40036137984