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142773745615004 = 22717240149518887
BaseRepresentation
bin100000011101101000011010…
…011001000000000010011100
3200201112000222210222012000102
4200131220122121000002130
5122203201112334140004
61223353204145520232
742034030341016520
oct4035503231000234
9621460883865012
10142773745615004
1141546007328789
121401a612643078
13618867786148a
14273840130dd80
151178d1590911e
hex81da1a64009c

142773745615004 has 144 divisors (see below), whose sum is σ = 304184539997184. Its totient is φ = 57427729920000.

The previous prime is 142773745615001. The next prime is 142773745615057. The reversal of 142773745615004 is 400516547377241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142773745615001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16065455849 + ... + 16065464735.

Almost surely, 2142773745615004 is an apocalyptic number.

142773745615004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142773745615004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152092269998592).

142773745615004 is an abundant number, since it is smaller than the sum of its proper divisors (161410794382180).

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

142773745615004 is a wasteful number, since it uses less digits than its factorization.

142773745615004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14284 (or 14265 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 56.

The spelling of 142773745615004 in words is "one hundred forty-two trillion, seven hundred seventy-three billion, seven hundred forty-five million, six hundred fifteen thousand, four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 289 401 476 578 802 1156 1604 2023 2807 4046 4951 5614 6817 8092 8887 9902 11228 13634 17774 19804 27268 34657 35548 47719 62209 69314 84167 95438 115889 124418 138628 151079 168334 190876 231778 248836 302158 336668 463556 589169 604316 811223 1057553 1178338 1430839 1622446 1985351 2115106 2356676 2568343 2861678 3244892 3563687 3970702 4230212 5136686 5723356 7127374 7941404 10015873 10273372 13897457 14254748 17978401 20031746 24945809 27794914 33750967 35956802 40063492 43999537 49891618 55589828 60582679 67501934 71913604 87999074 99783236 121165358 135003868 175998148 236256769 242330716 307996759 424078753 472513538 573766439 615993518 747992129 848157506 945027076 1029905543 1147532878 1231987036 1495984258 1696315012 2059811086 2295065756 2991968516 4016365073 4119622172 5235944903 7209338801 8032730146 10471889806 12715866193 14418677602 16065460292 17643814337 20943779612 25431732386 28837355204 35287628674 50863464772 70575257348 89011063351 123506700359 178022126702 247013400718 299944843729 356044253404 494026801436 599889687458 1199779374916 2099613906103 4199227812206 5099062343393 8398455624412 10198124686786 20396249373572 35693436403751 71386872807502 142773745615004