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1474140808752 = 2434110125032963
BaseRepresentation
bin10101011100111001101…
…000111010011000110000
312012221000102000010002120
4111130321220322120300
5143123020021340002
63045113321314240
7211334404062303
oct25347150723060
95187012003076
101474140808752
115191a8068257
121b9846935980
13a901aba4401
14514c514ab3a
152852c05bcbc
hex15739a3a630

1474140808752 has 160 divisors (see below), whose sum is σ = 3942608656896. Its totient is φ = 474299136000.

The previous prime is 1474140808687. The next prime is 1474140808759. The reversal of 1474140808752 is 2578080414741.

It is a super-2 number, since 2×14741408087522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1474140808695 and 1474140808704.

It is not an unprimeable number, because it can be changed into a prime (1474140808759) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497514823 + ... + 497517785.

Almost surely, 21474140808752 is an apocalyptic number.

1474140808752 is a gapful number since it is divisible by the number (12) 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 1474140808752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971304328448).

1474140808752 is an abundant number, since it is smaller than the sum of its proper divisors (2468467848144).

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

1474140808752 is a wasteful number, since it uses less digits than its factorization.

1474140808752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5619 (or 5613 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 51.

The spelling of 1474140808752 in words is "one trillion, four hundred seventy-four billion, one hundred forty million, eight hundred eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 101 123 164 202 246 303 328 404 492 606 656 808 984 1212 1616 1968 2424 2503 2963 4141 4848 5006 5926 7509 8282 8889 10012 11852 12423 15018 16564 17778 20024 23704 24846 30036 33128 35556 40048 47408 49692 60072 66256 71112 99384 102623 120144 121483 142224 198768 205246 242966 252803 299263 307869 364449 410492 485932 505606 598526 615738 728898 758409 820984 897789 971864 1011212 1197052 1231476 1457796 1516818 1641968 1795578 1943728 2022424 2394104 2462952 2915592 3033636 3591156 4044848 4788208 4925904 5831184 6067272 7182312 7416389 10364923 12134544 12269783 14364624 14832778 20729846 22249167 24539566 29665556 31094769 36809349 41459692 44498334 49079132 59331112 62189538 73618698 82919384 88996668 98158264 118662224 124379076 147237396 165838768 177993336 196316528 248758152 294474792 304071949 355986672 497516304 588949584 608143898 749055289 912215847 1216287796 1498110578 1824431694 2247165867 2432575592 2996221156 3648863388 4494331734 4865151184 5992442312 7297726776 8988663468 11984884624 14595453552 17977326936 30711266849 35954653872 61422533698 92133800547 122845067396 184267601094 245690134792 368535202188 491380269584 737070404376 1474140808752