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12430342052544 = 263138835639983
BaseRepresentation
bin1011010011100010101000…
…0111110101101011000000
31122000022212220120110001010
42310320222013311223000
53112124320031140134
642234230441440520
72422030315056063
oct264705207655300
948008786513033
1012430342052544
113a62751037389
1214891004a0140
136c223a225970
1430d8bb7c88da
1516851d4abce9
hexb4e2a1f5ac0

12430342052544 has 112 divisors (see below), whose sum is σ = 35458624527872. Its totient is φ = 3820388447232.

The previous prime is 12430342052483. The next prime is 12430342052551. The reversal of 12430342052544 is 44525024303421.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 616024 + ... + 5023959.

It is an arithmetic number, because the mean of its divisors is an integer number (316594861856).

Almost surely, 212430342052544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12430342052544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17729312263936).

12430342052544 is an abundant number, since it is smaller than the sum of its proper divisors (23028282475328).

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

12430342052544 is a wasteful number, since it uses less digits than its factorization.

12430342052544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5640894 (or 5640884 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

Adding to 12430342052544 its reverse (44525024303421), we get a palindrome (56955366355965).

The spelling of 12430342052544 in words is "twelve trillion, four hundred thirty billion, three hundred forty-two million, fifty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 883 1248 1766 2496 2649 3532 5298 7064 10596 11479 14128 21192 22958 28256 34437 42384 45916 56512 68874 84768 91832 137748 169536 183664 275496 367328 550992 734656 1101984 2203968 5639983 11279966 16919949 22559932 33839898 45119864 67679796 73319779 90239728 135359592 146639558 180479456 219959337 270719184 293279116 360958912 439918674 541438368 586558232 879837348 1082876736 1173116464 1759674696 2346232928 3519349392 4692465856 4980104989 7038698784 9960209978 14077397568 14940314967 19920419956 29880629934 39840839912 59761259868 64741364857 79681679824 119522519736 129482729714 159363359648 194224094571 239045039472 258965459428 318726719296 388448189142 478090078944 517930918856 776896378284 956180157888 1035861837712 1553792756568 2071723675424 3107585513136 4143447350848 6215171026272 12430342052544