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1452377315040 = 25353343905111
BaseRepresentation
bin10101001000101000011…
…011110001011011100000
312010211211200011002020220
4111020220123301123200
5142243432043040130
63031113554203040
7206634156325311
oct25105033613340
95124750132226
101452377315040
1150aa4a149313
121b5592283480
13a6c6004bc92
145041c972608
1527ba6599410
hex152286f16e0

1452377315040 has 96 divisors (see below), whose sum is σ = 4576362126336. Its totient is φ = 387184335360.

The previous prime is 1452377315027. The next prime is 1452377315083. The reversal of 1452377315040 is 405137732541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1452377314983 and 1452377315001.

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, 1152085 + ... + 2057195.

It is an arithmetic number, because the mean of its divisors is an integer number (47670438816).

Almost surely, 21452377315040 is an apocalyptic number.

1452377315040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1452377315040 is an abundant number, since it is smaller than the sum of its proper divisors (3123984811296).

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

1452377315040 is a wasteful number, since it uses less digits than its factorization.

1452377315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908472 (or 908464 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 1452377315040 in words is "one trillion, four hundred fifty-two billion, three hundred seventy-seven million, three hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 3343 6686 10029 13372 16715 20058 26744 33430 40116 50145 53488 66860 80232 100290 106976 133720 160464 200580 267440 320928 401160 534880 802320 905111 1604640 1810222 2715333 3620444 4525555 5430666 7240888 9051110 10861332 13576665 14481776 18102220 21722664 27153330 28963552 36204440 43445328 54306660 72408880 86890656 108613320 144817760 217226640 434453280 3025786073 6051572146 9077358219 12103144292 15128930365 18154716438 24206288584 30257860730 36309432876 45386791095 48412577168 60515721460 72618865752 90773582190 96825154336 121031442920 145237731504 181547164380 242062885840 290475463008 363094328760 484125771680 726188657520 1452377315040