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145017247641640 = 235114144318145937
BaseRepresentation
bin100000111110010001110101…
…100010000011000000101000
3201000110111212022211122101121
4200332101311202003000220
5123001430310344013030
61232232000500225024
742355102404422563
oct4076216542030050
9630414768748347
10145017247641640
114223051877a1a0
121432139299b174
1362bc0b5b9317a
1427b4c2d5b74da
1511b737100047a
hex83e475883028

145017247641640 has 128 divisors (see below), whose sum is σ = 365456287969920. Its totient is φ = 51331223756800.

The previous prime is 145017247641631. The next prime is 145017247641653. The reversal of 145017247641640 is 46146742710541.

It is a super-2 number, since 2×1450172476416402 (a number of 29 digits) contains 22 as substring.

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, 1081249 + ... + 17064688.

It is an arithmetic number, because the mean of its divisors is an integer number (2855127249765).

Almost surely, 2145017247641640 is an apocalyptic number.

145017247641640 is a gapful number since it is divisible by the number (10) 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 145017247641640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182728143984960).

145017247641640 is an abundant number, since it is smaller than the sum of its proper divisors (220439040328280).

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

145017247641640 is a wasteful number, since it uses less digits than its factorization.

145017247641640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18146443 (or 18146439 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 52.

The spelling of 145017247641640 in words is "one hundred forty-five trillion, seventeen billion, two hundred forty-seven million, six hundred forty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 328 410 440 443 451 820 886 902 1640 1772 1804 2215 2255 3544 3608 4430 4510 4873 8860 9020 9746 17720 18040 18163 19492 24365 36326 38984 48730 72652 90815 97460 145304 181630 194920 199793 363260 399586 726520 799172 998965 1598344 1997930 3995860 7991720 18145937 36291874 72583748 90729685 145167496 181459370 199605307 362918740 399210614 725837480 743983417 798421228 998026535 1487966834 1596842456 1996053070 2975933668 3719917085 3992106140 5951867336 7439834170 7984212280 8038650091 8183817587 14879668340 16077300182 16367635174 29759336680 32154600364 32735270348 40193250455 40919087935 64309200728 65470540696 80386500910 81838175870 88425151001 160773001820 163676351740 176850302002 321546003640 327352703480 329584653731 353700604004 442125755005 659169307462 707401208008 884251510010 1318338614924 1647923268655 1768503020020 2636677229848 3295846537310 3537006040040 3625431191041 6591693074620 7250862382082 13183386149240 14501724764164 18127155955205 29003449528328 36254311910410 72508623820820 145017247641640