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40015097472 = 273714999931
BaseRepresentation
bin100101010001000101…
…011110111010000000
310211021201110120100010
4211101011132322000
51123422331104342
630214354224520
72614416500520
oct452105367200
9124251416303
1040015097472
1115a7452aa99
127908b85140
133a0923a38c
141d185bb680
151092eba29c
hex95115ee80

40015097472 has 128 divisors (see below), whose sum is σ = 121567680000. Its totient is φ = 11424107520.

The previous prime is 40015097443. The next prime is 40015097489. The reversal of 40015097472 is 27479051004.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 40015097472.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4024347 + ... + 4034277.

It is an arithmetic number, because the mean of its divisors is an integer number (949747500).

Almost surely, 240015097472 is an apocalyptic number.

40015097472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40015097472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60783840000).

40015097472 is an abundant number, since it is smaller than the sum of its proper divisors (81552582528).

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

40015097472 is a wasteful number, since it uses less digits than its factorization.

40015097472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11454 (or 11442 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 40015097472 in words is "forty billion, fifteen million, ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 1499 2688 2998 4497 5996 8994 9931 10493 11992 17988 19862 20986 23984 29793 31479 35976 39724 41972 47968 59586 62958 69517 71952 79448 83944 95936 119172 125916 139034 143904 158896 167888 191872 208551 238344 251832 278068 287808 317792 335776 417102 476688 503664 556136 575616 635584 671552 834204 953376 1007328 1112272 1271168 1343104 1668408 1906752 2014656 2224544 3336816 3813504 4029312 4449088 6673632 8898176 13347264 14886569 26694528 29773138 44659707 59546276 89319414 104205983 119092552 178638828 208411966 238185104 312617949 357277656 416823932 476370208 625235898 714555312 833647864 952740416 1250471796 1429110624 1667295728 1905480832 2500943592 2858221248 3334591456 5001887184 5716442496 6669182912 10003774368 13338365824 20007548736 40015097472