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40407003403338 = 231113436117954407
BaseRepresentation
bin10010010111111111111010…
…00101011001010001001010
312022001212112112122010121010
421023333331011121101022
520244012020332401323
6221534415431424350
711340211132640205
oct1113777505312112
9168055475563533
1040407003403338
1111969572016010
1246471938250b6
131971496b30b40
149d99d084293c
154a112b3a2c93
hex24bffd15944a

40407003403338 has 128 divisors (see below), whose sum is σ = 98742924048384. Its totient is φ = 10858824748800.

The previous prime is 40407003403307. The next prime is 40407003403343. The reversal of 40407003403338 is 83330430070404.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 40407003403296 and 40407003403305.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6726670 + ... + 11227737.

It is an arithmetic number, because the mean of its divisors is an integer number (771429094128).

Almost surely, 240407003403338 is an apocalyptic number.

40407003403338 is an abundant number, since it is smaller than the sum of its proper divisors (58335920645046).

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

40407003403338 is a wasteful number, since it uses less digits than its factorization.

40407003403338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17954540.

The product of its (nonzero) digits is 290304, while the sum is 39.

The spelling of 40407003403338 in words is "forty trillion, four hundred seven billion, three million, four hundred three thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 11 13 22 26 33 39 43 61 66 78 86 122 129 143 183 258 286 366 429 473 559 671 793 858 946 1118 1342 1419 1586 1677 2013 2379 2623 2838 3354 4026 4758 5246 6149 7869 8723 12298 15738 17446 18447 26169 28853 34099 36894 52338 57706 68198 86559 102297 173118 204594 375089 750178 1125267 2250534 17954407 35908814 53863221 107726442 197498477 233407291 394996954 466814582 592495431 700221873 772039501 1095218827 1184990862 1400443746 1544079002 2190437654 2316118503 2567480201 3285656481 4632237006 5134960402 6571312962 7702440603 8492434511 10036513513 12047407097 14237844751 15404881206 16984869022 20073027026 24094814194 25477303533 28475689502 30109540539 36142221291 42713534253 47094409561 50954607066 60219081078 72284442582 85427068506 94188819122 110401648643 141283228683 156616292261 220803297286 282566457366 313232584522 331204945929 469848876783 518038505171 612227324293 662409891858 939697753566 1036077010342 1224454648586 1554115515513 1836681972879 3108231031026 3673363945758 6734500567223 13469001134446 20203501701669 40407003403338