Search a number
-
+
2514115322004 = 22311131607391153
BaseRepresentation
bin100100100101011100111…
…100110110000010010100
322220100101000112012211110
4210211130330312002110
5312142402010301004
65202545120335020
7346432056431616
oct44453474660224
98810330465743
102514115322004
1188a259613660
12347304174470
13153106b6a890
1489980608db6
15455e7e23589
hex2495cf36094

2514115322004 has 96 divisors (see below), whose sum is σ = 6892344998784. Its totient is φ = 703197573120.

The previous prime is 2514115321973. The next prime is 2514115322027. The reversal of 2514115322004 is 4002235114152.

It is a super-3 number, since 3×25141153220043 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27535692 + ... + 27626844.

It is an arithmetic number, because the mean of its divisors is an integer number (71795260404).

Almost surely, 22514115322004 is an apocalyptic number.

It is an amenable number.

2514115322004 is an abundant number, since it is smaller than the sum of its proper divisors (4378229676780).

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

2514115322004 is a wasteful number, since it uses less digits than its factorization.

2514115322004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107257 (or 107255 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 2514115322004 in words is "two trillion, five hundred fourteen billion, one hundred fifteen million, three hundred twenty-two thousand, four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 16073 32146 48219 64292 91153 96438 176803 182306 192876 208949 273459 353606 364612 417898 530409 546918 626847 707212 835796 1002683 1060818 1093836 1184989 1253694 2005366 2121636 2298439 2369978 2507388 3008049 3554967 4010732 4596878 4739956 6016098 6895317 7109934 9193756 12032196 13034879 13790634 14219868 26069758 27581268 39104637 52139516 78209274 156418548 1465102169 2930204338 4395306507 5860408676 8790613014 16116123859 17581226028 19046328197 32232247718 38092656394 48348371577 57138984591 64464495436 76185312788 96696743154 114277969182 193393486308 209509610167 228555938364 419019220334 628528830501 838038440668 1257057661002 2514115322004