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40107740151920 = 2457294585353861
BaseRepresentation
bin10010001111010010011111…
…00110101100000001110000
312021000021002101000210220112
421013221033212230001300
520224111122434330140
6221145124053400452
711306455122162560
oct1107511746540160
9167007071023815
1040107740151920
1111863662788941
1245b9195039128
13194c1b383a24c
149c93214c2da0
15498463724c65
hex247a4f9ac070

40107740151920 has 160 divisors (see below), whose sum is σ = 110251342926720. Its totient is φ = 13276508958720.

The previous prime is 40107740151917. The next prime is 40107740151959. The reversal of 40107740151920 is 2915104770104.

It is a congruent number.

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, 744625790 + ... + 744679650.

It is an arithmetic number, because the mean of its divisors is an integer number (689070893292).

Almost surely, 240107740151920 is an apocalyptic number.

40107740151920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40107740151920 is an abundant number, since it is smaller than the sum of its proper divisors (70143602774800).

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

40107740151920 is a wasteful number, since it uses less digits than its factorization.

40107740151920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99763 (or 99757 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 41.

The spelling of 40107740151920 in words is "forty trillion, one hundred seven billion, seven hundred forty million, one hundred fifty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 1015 1160 1624 2030 2320 3248 4060 8120 16240 45853 53861 91706 107722 183412 215444 229265 269305 320971 366824 377027 430888 458530 538610 641942 733648 754054 861776 917060 1077220 1283884 1329737 1508108 1561969 1604855 1834120 1885135 2154440 2567768 2659474 3016216 3123938 3209710 3668240 3770270 4308880 5135536 5318948 6032432 6247876 6419420 6648685 7540540 7809845 9308159 10637896 10933783 12495752 12838840 13297370 15081080 15619690 18616318 21275792 21867566 24991504 25677680 26594740 30162160 31239380 37232636 43735132 46540795 53189480 54668915 62478760 74465272 87470264 93081590 106378960 109337830 124957520 148930544 174940528 186163180 218675660 372326360 437351320 744652720 874702640 2469688433 4939376866 9878753732 12348442165 17287819031 19757507464 24696884330 34575638062 39515014928 49393768660 69151276124 71620964557 86439095155 98787537320 138302552248 143241929114 172878190310 197575074640 276605104496 286483858228 345756380620 358104822785 501346751899 572967716456 691512761240 716209645570 1002693503798 1145935432912 1383025522480 1432419291140 2005387007596 2506733759495 2864838582280 4010774015192 5013467518990 5729677164560 8021548030384 10026935037980 20053870075960 40107740151920