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142134431045440 = 2651035021858859
BaseRepresentation
bin100000010100010101000000…
…010001011101011101000000
3200122020220210212211001211011
4200110111000101131131000
5122112212303321423230
61222143353423530304
741636605462601251
oct4024250021353500
9618226725731734
10142134431045440
1141319967985189
1213b36731459994
1361402b0b5c372
1427154b3922b28
151167399349e2a
hex81454045d740

142134431045440 has 112 divisors (see below), whose sum is σ = 341812071020160. Its totient is φ = 56290515240960.

The previous prime is 142134431045413. The next prime is 142134431045449. The reversal of 142134431045440 is 44540134431241.

It is a super-2 number, since 2×1421344310454402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 142134431045393 and 142134431045402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142134431045449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165062731 + ... + 165921589.

Almost surely, 2142134431045440 is an apocalyptic number.

142134431045440 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 142134431045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170906035510080).

142134431045440 is an abundant number, since it is smaller than the sum of its proper divisors (199677639974720).

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

142134431045440 is a wasteful number, since it uses less digits than its factorization.

142134431045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864000 (or 863990 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

Adding to 142134431045440 its reverse (44540134431241), we get a palindrome (186674565476681).

The spelling of 142134431045440 in words is "one hundred forty-two trillion, one hundred thirty-four billion, four hundred thirty-one million, forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 160 206 320 412 515 824 1030 1648 2060 3296 4120 5021 6592 8240 10042 16480 20084 25105 32960 40168 50210 80336 100420 160672 200840 321344 401680 517163 803360 858859 1034326 1606720 1717718 2068652 2585815 3435436 4137304 4294295 5171630 6870872 8274608 8588590 10343260 13741744 16549216 17177180 20686520 27483488 33098432 34354360 41373040 54966976 68708720 82746080 88462477 137417440 165492160 176924954 274834880 353849908 442312385 707699816 884624770 1415399632 1769249540 2830799264 3538499080 4312331039 5661598528 7076998160 8624662078 14153996320 17249324156 21561655195 28307992640 34498648312 43123310390 68997296624 86246620780 137994593248 172493241560 275989186496 344986483120 444170097017 689972966240 888340194034 1379945932480 1776680388068 2220850485085 3553360776136 4441700970170 7106721552272 8883401940340 14213443104544 17766803880680 28426886209088 35533607761360 71067215522720 142134431045440