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1045201454040 = 233523715333749
BaseRepresentation
bin11110011010110101101…
…11001000001111011000
310200220211212221012112110
433031122313020033120
5114111033033012130
62120054154312320
7135341031525612
oct17153267101730
93626755835473
101045201454040
113732a3a77387
1214a697a286a0
137773cb52a53
1438833755db2
151c2c4be9ab0
hexf35adc83d8

1045201454040 has 128 divisors (see below), whose sum is σ = 3318019200000. Its totient is φ = 262847101440.

The previous prime is 1045201453927. The next prime is 1045201454057. The reversal of 1045201454040 is 404541025401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1045201453989 and 1045201454007.

It is a congruent number.

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, 2470915 + ... + 2862834.

It is an arithmetic number, because the mean of its divisors is an integer number (25922025000).

Almost surely, 21045201454040 is an apocalyptic number.

1045201454040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1045201454040 is an abundant number, since it is smaller than the sum of its proper divisors (2272817745960).

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

1045201454040 is a wasteful number, since it uses less digits than its factorization.

1045201454040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5333857 (or 5333853 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 1045201454040 its reverse (404541025401), we get a palindrome (1449742479441).

The spelling of 1045201454040 in words is "one trillion, forty-five billion, two hundred one million, four hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 71 92 115 120 138 142 184 213 230 276 284 345 355 426 460 552 568 690 710 852 920 1065 1380 1420 1633 1704 2130 2760 2840 3266 4260 4899 6532 8165 8520 9798 13064 16330 19596 24495 32660 39192 48990 65320 97980 195960 5333749 10667498 16001247 21334996 26668745 32002494 42669992 53337490 64004988 80006235 106674980 122676227 128009976 160012470 213349960 245352454 320024940 368028681 378696179 490704908 613381135 640049880 736057362 757392358 981409816 1136088537 1226762270 1472114724 1514784716 1840143405 1893480895 2272177074 2453524540 2944229448 3029569432 3680286810 3786961790 4544354148 4907049080 5680442685 7360573620 7573923580 8710012117 9088708296 11360885370 14721147240 15147847160 17420024234 22721770740 26130036351 34840048468 43550060585 45443541480 52260072702 69680096936 87100121170 104520145404 130650181755 174200242340 209040290808 261300363510 348400484680 522600727020 1045201454040