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142377345024 = 213337156577
BaseRepresentation
bin1000010010011001011…
…0011110000000000000
3111121111112002112000220
42010212112132000000
54313042100020044
6145223544343040
713200146315235
oct2044626360000
9447445075026
10142377345024
11554223326a2
1223715a74a80
1310570277c25
146c6927178c
153a847c0019
hex212659e000

142377345024 has 112 divisors (see below), whose sum is σ = 389913040848. Its totient is φ = 46176141312.

The previous prime is 142377345007. The next prime is 142377345083. The reversal of 142377345024 is 420543773241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 831024 + ... + 987600.

Almost surely, 2142377345024 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 142377345024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194956520424).

142377345024 is an abundant number, since it is smaller than the sum of its proper divisors (247535695824).

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

142377345024 is an equidigital number, since it uses as much as digits as its factorization.

142377345024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156643 (or 156619 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 42.

The spelling of 142377345024 in words is "one hundred forty-two billion, three hundred seventy-seven million, three hundred forty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1024 1184 1536 1776 2048 2368 3072 3552 4096 4736 6144 7104 8192 9472 12288 14208 18944 24576 28416 37888 56832 75776 113664 151552 156577 227328 303104 313154 454656 469731 626308 909312 939462 1252616 1878924 2505232 3757848 5010464 5793349 7515696 10020928 11586698 15031392 17380047 20041856 23173396 30062784 34760094 40083712 46346792 60125568 69520188 80167424 92693584 120251136 139040376 160334848 185387168 240502272 278080752 320669696 370774336 481004544 556161504 641339392 741548672 962009088 1112323008 1282678784 1483097344 1924018176 2224646016 2966194688 3848036352 4449292032 5932389376 8898584064 11864778752 17797168128 23729557504 35594336256 47459115008 71188672512 142377345024