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40268559945060 = 223254131513173149
BaseRepresentation
bin10010010011111110000010…
…01101100000110101100100
312021120122012011211202200100
421021333001031200311210
520234230002321220220
6221351042051544100
711324210311650336
oct1111770115406544
9167518164752610
1040268559945060
1111915889320797
1246243972bb030
131961402899c65
149d3019c35456
1549c727148d90
hex249fc1360d64

40268559945060 has 144 divisors (see below), whose sum is σ = 125131877161200. Its totient is φ = 10475980369920.

The previous prime is 40268559945041. The next prime is 40268559945067. The reversal of 40268559945060 is 6054995586204.

It is a happy number.

40268559945060 is a `hidden beast` number, since 4 + 0 + 26 + 8 + 559 + 9 + 4 + 50 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18340936847424 + 21927623097636 = 4282632^2 + 4682694^2 .

It is not an unprimeable number, because it can be changed into a prime (40268559945067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232479366 + ... + 232652514.

It is an arithmetic number, because the mean of its divisors is an integer number (868971369175).

Almost surely, 240268559945060 is an apocalyptic number.

It is an amenable number.

40268559945060 is an abundant number, since it is smaller than the sum of its proper divisors (84863317216140).

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

40268559945060 is a wasteful number, since it uses less digits than its factorization.

40268559945060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204718 (or 204713 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 40268559945060 in words is "forty trillion, two hundred sixty-eight billion, five hundred fifty-nine million, nine hundred forty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 31513 63026 94539 126052 157565 173149 189078 283617 315130 346298 378156 472695 519447 567234 630260 692596 865745 945390 1038894 1134468 1292033 1418085 1558341 1731490 1890780 2077788 2584066 2597235 2836170 3116682 3462980 3876099 5168132 5194470 5672340 6233364 6460165 7099109 7752198 7791705 10388940 11628297 12920330 14198218 15504396 15583410 19380495 21297327 23256594 25840660 28396436 31166820 35495545 38760990 42594654 46513188 58141485 63891981 70991090 77521980 85189308 106486635 116282970 127783962 141982180 212973270 232565940 255567924 319459905 425946540 638919810 1277839620 5456444437 10912888874 16369333311 21825777748 27282222185 32738666622 49107999933 54564444370 65477333244 81846666555 98215999866 109128888740 163693333110 196431999732 223714221917 245539999665 327386666220 447428443834 491079999330 671142665751 894856887668 982159998660 1118571109585 1342285331502 2013427997253 2237142219170 2684570663004 3355713328755 4026855994506 4474284438340 6711426657510 8053711989012 10067139986265 13422853315020 20134279972530 40268559945060