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40104214515120 = 24357148116118539
BaseRepresentation
bin10010001111001011111010…
…11101011100110110110000
312020222220222122220220102210
421013211331131130312300
520224031412403440440
6221143342151012120
711306301551566230
oct1107457535346660
9166886878826383
1040104214515120
1111862113640818
1245b857036a040
13194ba71295922
149c90a916dcc0
15498308e51a80
hex24797d75cdb0

40104214515120 has 160 divisors (see below), whose sum is σ = 142179449218560. Its totient is φ = 9160487516160.

The previous prime is 40104214515119. The next prime is 40104214515137. The reversal of 40104214515120 is 2151541240104.

It is a super-2 number, since 2×401042145151202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5571190 + ... + 10547349.

It is an arithmetic number, because the mean of its divisors is an integer number (888621557616).

Almost surely, 240104214515120 is an apocalyptic number.

40104214515120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40104214515120 is an abundant number, since it is smaller than the sum of its proper divisors (102075234703440).

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

40104214515120 is a wasteful number, since it uses less digits than its factorization.

40104214515120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16120043 (or 16120037 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 40104214515120 its reverse (2151541240104), we get a palindrome (42255755755224).

The spelling of 40104214515120 in words is "forty trillion, one hundred four billion, two hundred fourteen million, five hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1481 1680 2962 4443 5924 7405 8886 10367 11848 14810 17772 20734 22215 23696 29620 31101 35544 41468 44430 51835 59240 62202 71088 82936 88860 103670 118480 124404 155505 165872 177720 207340 248808 311010 355440 414680 497616 622020 829360 1244040 2488080 16118539 32237078 48355617 64474156 80592695 96711234 112829773 128948312 161185390 193422468 225659546 241778085 257896624 322370780 338489319 386844936 451319092 483556170 564148865 644741560 676978638 773689872 902638184 967112340 1128297730 1289483120 1353957276 1692446595 1805276368 1934224680 2256595460 2707914552 3384893190 3868449360 4513190920 5415829104 6769786380 9026381840 13539572760 23871556259 27079145520 47743112518 71614668777 95486225036 119357781295 143229337554 167100893813 190972450072 238715562590 286458675108 334201787626 358073343885 381944900144 477431125180 501302681439 572917350216 668403575252 716146687770 835504469065 954862250360 1002605362878 1145834700432 1336807150504 1432293375540 1671008938130 1909724500720 2005210725756 2506513407195 2673614301008 2864586751080 3342017876260 4010421451512 5013026814390 5729173502160 6684035752520 8020842903024 10026053628780 13368071505040 20052107257560 40104214515120