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2042314135504 = 247117959316937
BaseRepresentation
bin11101101110000011011…
…010001001011111010000
321020020120101100122120221
4131232003122021133100
5231430124404314004
64202120503442424
7300360306502426
oct35560332113720
97206511318527
102042314135504
117181600a5105
1228b992a56414
1311a787b9aa86
1470bc4529116
15381d2c29354
hex1db836897d0

2042314135504 has 80 divisors (see below), whose sum is σ = 4042176462720. Its totient is φ = 999402844160.

The previous prime is 2042314135447. The next prime is 2042314135517. The reversal of 2042314135504 is 4055314132402.

It is a self number, because there is not a number n which added to its sum of digits gives 2042314135504.

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, 120574524 + ... + 120591460.

It is an arithmetic number, because the mean of its divisors is an integer number (50527205784).

Almost surely, 22042314135504 is an apocalyptic number.

It is an amenable number.

2042314135504 is a deficient number, since it is larger than the sum of its proper divisors (1999862327216).

2042314135504 is a wasteful number, since it uses less digits than its factorization.

2042314135504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17788 (or 17782 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 2042314135504 its reverse (4055314132402), we get a palindrome (6097628267906).

The spelling of 2042314135504 in words is "two trillion, forty-two billion, three hundred fourteen million, one hundred thirty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 71 142 179 284 358 568 593 716 1136 1186 1432 2372 2864 4744 9488 12709 16937 25418 33874 42103 50836 67748 84206 101672 106147 135496 168412 203344 212294 270992 336824 424588 673648 849176 1202527 1698352 2405054 3031723 4810108 6063446 7536437 9620216 10043641 12126892 15072874 19240432 20087282 24253784 30145748 40174564 48507568 60291496 80349128 120582992 160698256 215252333 430504666 713098511 861009332 1426197022 1722018664 1797811739 2852394044 3444037328 3595623478 5704788088 7191246956 11409576176 14382493912 28764987824 127644633469 255289266938 510578533876 1021157067752 2042314135504