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142425456640 = 219554331
BaseRepresentation
bin1000010010100100111…
…0000000000000000000
3111121121212121211202121
42010221032000000000
54313141404103030
6145232423454024
713201302256315
oct2045116000000
9447555554677
10142425456640
1155447503665
1223729bb7314
131057a22193c
146c717d6d0c
153a88b2547a
hex2129380000

142425456640 has 80 divisors (see below), whose sum is σ = 341827061400. Its totient is φ = 56969134080.

The previous prime is 142425456571. The next prime is 142425456653. The reversal of 142425456640 is 46654524241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1424254566402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2594275 + ... + 2648605.

Almost surely, 2142425456640 is an apocalyptic number.

142425456640 is a gapful number since it is divisible by the number (10) 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 142425456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170913530700).

142425456640 is an abundant number, since it is smaller than the sum of its proper divisors (199401604760).

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

142425456640 is an frugal number, since it uses more digits than its factorization.

142425456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54374 (or 54338 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 43.

The spelling of 142425456640 in words is "one hundred forty-two billion, four hundred twenty-five million, four hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 8192 10240 16384 20480 32768 40960 54331 65536 81920 108662 131072 163840 217324 262144 271655 327680 434648 524288 543310 655360 869296 1086620 1310720 1738592 2173240 2621440 3477184 4346480 6954368 8692960 13908736 17385920 27817472 34771840 55634944 69543680 111269888 139087360 222539776 278174720 445079552 556349440 890159104 1112698880 1780318208 2225397760 3560636416 4450795520 7121272832 8901591040 14242545664 17803182080 28485091328 35606364160 71212728320 142425456640