Search a number
-
+
1124125440132 = 2233147166738569
BaseRepresentation
bin10000010110111011000…
…110001111100010000100
310222110120020100002221110
4100112323012033202010
5121404202103041012
62220225513245020
7144133606404462
oct20267306174204
93873506302843
101124125440132
113a3814561272
12161a43403770
138200a084736
143c59d637832
151e3939be73c
hex105bb18f884

1124125440132 has 96 divisors (see below), whose sum is σ = 2766909358080. Its totient is φ = 354683669760.

The previous prime is 1124125440127. The next prime is 1124125440157. The reversal of 1124125440132 is 2310445214211.

It is a super-3 number, since 3×11241254401323 (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1124125440132.

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, 29126544 + ... + 29165112.

It is an arithmetic number, because the mean of its divisors is an integer number (28821972480).

Almost surely, 21124125440132 is an apocalyptic number.

1124125440132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1124125440132 is an abundant number, since it is smaller than the sum of its proper divisors (1642783917948).

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

1124125440132 is a wasteful number, since it uses less digits than its factorization.

1124125440132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40321 (or 40319 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 1124125440132 in words is "one trillion, one hundred twenty-four billion, one hundred twenty-five million, four hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 31 47 62 93 94 124 141 186 188 282 372 564 1457 1667 2914 3334 4371 5001 5828 6668 8742 10002 17484 20004 38569 51677 77138 78349 103354 115707 154276 155031 156698 206708 231414 235047 310062 313396 462828 470094 620124 940188 1195639 1812743 2391278 2428819 3586917 3625486 4782556 4857638 5438229 7173834 7250972 7286457 9715276 10876458 14347668 14572914 21752916 29145828 56195033 64294523 112390066 128589046 168585099 192883569 224780132 257178092 337170198 385767138 674340396 771534276 1993130213 3021842581 3986260426 5979390639 6043685162 7972520852 9065527743 11958781278 12087370324 18131055486 23917562556 36262110972 93677120011 187354240022 281031360033 374708480044 562062720066 1124125440132