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142538709504 = 293971078941
BaseRepresentation
bin1000010010111111111…
…0000001101000000000
3111121220202201200111010
42010233332001220000
54313404402201004
6145251551120520
713204146016512
oct2045776015000
9447822650433
10142538709504
11554a5427174
122375bb13140
1310597825779
146c82877bb2
153a93a46a89
hex212ff81a00

142538709504 has 160 divisors (see below), whose sum is σ = 387275587776. Its totient is φ = 46578401280.

The previous prime is 142538709493. The next prime is 142538709557. The reversal of 142538709504 is 405907835241.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 15937674 + ... + 15946614.

Almost surely, 2142538709504 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 142538709504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193637793888).

142538709504 is an abundant number, since it is smaller than the sum of its proper divisors (244736878272).

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

142538709504 is an equidigital number, since it uses as much as digits as its factorization.

142538709504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9166 (or 9150 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 142538709504 in words is "one hundred forty-two billion, five hundred thirty-eight million, seven hundred nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 107 128 192 194 214 256 291 321 384 388 428 512 582 642 768 776 856 1164 1284 1536 1552 1712 2328 2568 3104 3424 4656 5136 6208 6848 8941 9312 10272 10379 12416 13696 17882 18624 20544 20758 24832 26823 27392 31137 35764 37248 41088 41516 49664 53646 54784 62274 71528 74496 82176 83032 107292 124548 143056 148992 164352 166064 214584 249096 286112 332128 429168 498192 572224 664256 858336 867277 956687 996384 1144448 1328512 1716672 1734554 1913374 1992768 2288896 2601831 2657024 2870061 3433344 3469108 3826748 3985536 4577792 5203662 5314048 5740122 6866688 6938216 7653496 7971072 10407324 11480244 13733376 13876432 15306992 15942144 20814648 22960488 27752864 30613984 41629296 45920976 55505728 61227968 83258592 91841952 92798639 111011456 122455936 166517184 183683904 185597278 222022912 244911872 278395917 333034368 367367808 371194556 444045824 489823744 556791834 666068736 734735616 742389112 1113583668 1332137472 1469471232 1484778224 2227167336 2969556448 4454334672 5939112896 8908669344 11878225792 17817338688 23756451584 35634677376 47512903168 71269354752 142538709504