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143234110102240 = 2551139623823261
BaseRepresentation
bin100000100100010101001010…
…010000001001101011100000
3200210011001021101222020020201
4200210111022100021223200
5122233221424141232430
61224344501454314544
742112215526421323
oct4044251220115340
9623131241866221
10143234110102240
1141703277057863
12140938917b8a54
1361bcbc32b6001
1427527d45247ba
151185caba518ca
hex82454a409ae0

143234110102240 has 96 divisors (see below), whose sum is σ = 341421082744896. Its totient is φ = 56780650536960.

The previous prime is 143234110102229. The next prime is 143234110102247. The reversal of 143234110102240 is 42201011432341.

It is a happy number.

It is a super-2 number, since 2×1432341101022402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 143234110102199 and 143234110102208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143234110102247) 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, 173572210 + ... + 174395470.

It is an arithmetic number, because the mean of its divisors is an integer number (3556469611926).

Almost surely, 2143234110102240 is an apocalyptic number.

143234110102240 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 143234110102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170710541372448).

143234110102240 is an abundant number, since it is smaller than the sum of its proper divisors (198186972642656).

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

143234110102240 is a wasteful number, since it uses less digits than its factorization.

143234110102240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833012 (or 833004 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 143234110102240 its reverse (42201011432341), we get a palindrome (185435121534581).

The spelling of 143234110102240 in words is "one hundred forty-three trillion, two hundred thirty-four billion, one hundred ten million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1808 2260 3616 4520 9040 9623 18080 19246 38492 48115 76984 96230 153968 192460 307936 384920 769840 823261 1087399 1539680 1646522 2174798 3293044 4116305 4349596 5436995 6586088 8232610 8699192 10873990 13172176 16465220 17398384 21747980 26344352 32930440 34796768 43495960 65860880 86991920 93028493 131721760 173983840 186056986 372113972 465142465 744227944 930284930 1488455888 1860569860 2976911776 3721139720 7442279440 7922240603 14884558880 15844481206 31688962412 39611203015 63377924824 79222406030 126755849648 158444812060 253511699296 316889624120 633779248240 895213188139 1267558496480 1790426376278 3580852752556 4476065940695 7161705505112 8952131881390 14323411010224 17904263762780 28646822020448 35808527525560 71617055051120 143234110102240