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1542312115040 = 255231331331481
BaseRepresentation
bin10110011100011000111…
…101110011101101100000
312110102222101100021210102
4112130120331303231200
5200232123400140130
63140310045121532
7216266634446354
oct26343075635540
95412871307712
101542312115040
115450aaa87704
1220aab12592a8
13b25934c3478
1454910d3b464
152a1bbd47645
hex16718f73b60

1542312115040 has 96 divisors (see below), whose sum is σ = 3802541029056. Its totient is φ = 590038958080.

The previous prime is 1542312114997. The next prime is 1542312115051. The reversal of 1542312115040 is 405112132451.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1542312114994 and 1542312115012.

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, 48976100 + ... + 49007580.

It is an arithmetic number, because the mean of its divisors is an integer number (39609802386).

Almost surely, 21542312115040 is an apocalyptic number.

1542312115040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1542312115040 is an abundant number, since it is smaller than the sum of its proper divisors (2260228914016).

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

1542312115040 is a wasteful number, since it uses less digits than its factorization.

1542312115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44832 (or 44824 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 1542312115040 its reverse (405112132451), we get a palindrome (1947424247491).

The spelling of 1542312115040 in words is "one trillion, five hundred forty-two billion, three hundred twelve million, one hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 13313 26626 31481 53252 62962 66565 106504 125924 133130 157405 213008 251848 266260 306199 314810 426016 503696 532520 612398 629620 724063 1007392 1065040 1224796 1259240 1448126 1530995 2130080 2449592 2518480 2896252 3061990 3620315 4899184 5036960 5792504 6123980 7240630 9798368 11585008 12247960 14481260 23170016 24495920 28962520 48991840 57925040 115850080 419106553 838213106 1676426212 2095532765 3352852424 4191065530 6705704848 8382131060 9639450719 13411409696 16764262120 19278901438 33528524240 38557802876 48197253595 67057048480 77115605752 96394507190 154231211504 192789014380 308462423008 385578028760 771156057520 1542312115040