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142451416064 = 2103735310651
BaseRepresentation
bin1000010010101011000…
…1000001110000000000
3111121200200110201101202
42010222301001300000
54313220030303224
6145235152120332
713202036025626
oct2045261016000
9447620421352
10142451416064
1155460124331
12237368360a8
1310582710749
146c75033516
153a8b051eae
hex212ac41c00

142451416064 has 88 divisors (see below), whose sum is σ = 293316071088. Its totient is φ = 69097881600.

The previous prime is 142451416033. The next prime is 142451416097. The reversal of 142451416064 is 460614154241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13369139 + ... + 13379789.

Almost surely, 2142451416064 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 142451416064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146658035544).

142451416064 is an abundant number, since it is smaller than the sum of its proper divisors (150864655024).

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

142451416064 is a wasteful number, since it uses less digits than its factorization.

142451416064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11061 (or 11043 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 142451416064 in words is "one hundred forty-two billion, four hundred fifty-one million, four hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 353 512 592 706 1024 1184 1412 2368 2824 4736 5648 9472 10651 11296 13061 18944 21302 22592 26122 37888 42604 45184 52244 85208 90368 104488 170416 180736 208976 340832 361472 394087 417952 681664 788174 835904 1363328 1576348 1671808 2726656 3152696 3343616 3759803 5453312 6305392 6687232 7519606 10906624 12610784 13374464 15039212 25221568 30078424 50443136 60156848 100886272 120313696 139112711 201772544 240627392 278225422 403545088 481254784 556450844 962509568 1112901688 1925019136 2225803376 3850038272 4451606752 8903213504 17806427008 35612854016 71225708032 142451416064