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2513221214040 = 233257988369241
BaseRepresentation
bin100100100100100111101…
…010000101111101011000
322220021001201002211021200
4210210213222011331120
5312134034112322130
65202320300434200
7346400651563065
oct44444752057530
98807051084250
102513221214040
1188993a946059
123470b4848960
13152cc3858004
14898d7983c6c
15455946ac760
hex24927a85f58

2513221214040 has 96 divisors (see below), whose sum is σ = 8271361051200. Its totient is φ = 661708869120.

The previous prime is 2513221214039. The next prime is 2513221214069. The reversal of 2513221214040 is 404121223152.

2513221214040 is a `hidden beast` number, since 2 + 5 + 13 + 221 + 21 + 404 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2513221213995 and 2513221214013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44156181 + ... + 44213060.

It is an arithmetic number, because the mean of its divisors is an integer number (86160010950).

Almost surely, 22513221214040 is an apocalyptic number.

2513221214040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2513221214040 is an abundant number, since it is smaller than the sum of its proper divisors (5758139837160).

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

2513221214040 is a wasteful number, since it uses less digits than its factorization.

2513221214040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88369337 (or 88369330 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 2513221214040 its reverse (404121223152), we get a palindrome (2917342437192).

The spelling of 2513221214040 in words is "two trillion, five hundred thirteen billion, two hundred twenty-one million, two hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 79 90 120 158 180 237 316 360 395 474 632 711 790 948 1185 1422 1580 1896 2370 2844 3160 3555 4740 5688 7110 9480 14220 28440 88369241 176738482 265107723 353476964 441846205 530215446 706953928 795323169 883692410 1060430892 1325538615 1590646338 1767384820 2120861784 2651077230 3181292676 3534769640 3976615845 5302154460 6362585352 6981170039 7953231690 10604308920 13962340078 15906463380 20943510117 27924680156 31812926760 34905850195 41887020234 55849360312 62830530351 69811700390 83774040468 104717550585 125661060702 139623400780 167548080936 209435101170 251322121404 279246801560 314152651755 418870202340 502644242808 628305303510 837740404680 1256610607020 2513221214040