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1132813037440 = 27571092319817
BaseRepresentation
bin10000011111000000111…
…010110010111110000000
311000021222200120210000201
4100133000322302332000
5122030000114144230
62224223534454544
7144562106641510
oct20370072627600
94007880523021
101132813037440
113a7472477757
12163668964454
1382a92bb3866
143cb8536b840
151e70153c5ca
hex107c0eb2f80

1132813037440 has 128 divisors (see below), whose sum is σ = 3123402955200. Its totient is φ = 384829636608.

The previous prime is 1132813037437. The next prime is 1132813037471. The reversal of 1132813037440 is 447303182311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1132813037440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671589 + ... + 1648228.

Almost surely, 21132813037440 is an apocalyptic number.

1132813037440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132813037440 is an abundant number, since it is smaller than the sum of its proper divisors (1990589917760).

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

1132813037440 is a wasteful number, since it uses less digits than its factorization.

1132813037440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319952 (or 2319940 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 1132813037440 in words is "one trillion, one hundred thirty-two billion, eight hundred thirteen million, thirty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 109 112 128 140 160 218 224 280 320 436 448 545 560 640 763 872 896 1090 1120 1526 1744 2180 2240 3052 3488 3815 4360 4480 6104 6976 7630 8720 12208 13952 15260 17440 24416 30520 34880 48832 61040 69760 97664 122080 244160 488320 2319817 4639634 9279268 11599085 16238719 18558536 23198170 32477438 37117072 46396340 64954876 74234144 81193595 92792680 129909752 148468288 162387190 185585360 252860053 259819504 296936576 324774380 371170720 505720106 519639008 649548760 742341440 1011440212 1039278016 1264300265 1299097520 1484682880 1770020371 2022880424 2078556032 2528600530 2598195040 3540040742 4045760848 5057201060 5196390080 7080081484 8091521696 8850101855 10114402120 10392780160 14160162968 16183043392 17700203710 20228804240 28320325936 32366086784 35400407420 40457608480 56640651872 70800814840 80915216960 113281303744 141601629680 161830433920 226562607488 283203259360 566406518720 1132813037440