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140404341232 = 241729611032833
BaseRepresentation
bin1000001011000011000…
…0000011100111110000
3111102102000112112122101
42002300300003213300
54300022002404412
6144300104150144
713100231131501
oct2026060034760
9442360475571
10140404341232
11545aa654751
1223265168354
131031759356c
146b1d202ba8
1539bb491457
hex20b0c039f0

140404341232 has 160 divisors (see below), whose sum is σ = 305900599680. Its totient is φ = 62117314560.

The previous prime is 140404341221. The next prime is 140404341361. The reversal of 140404341232 is 232143404041.

It is a self number, because there is not a number n which added to its sum of digits gives 140404341232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49558888 + ... + 49561720.

It is an arithmetic number, because the mean of its divisors is an integer number (1911878748).

Almost surely, 2140404341232 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 140404341232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152950299840).

140404341232 is an abundant number, since it is smaller than the sum of its proper divisors (165496258448).

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

140404341232 is a wasteful number, since it uses less digits than its factorization.

140404341232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 140404341232 its reverse (232143404041), we get a palindrome (372547745273).

It can be divided in two parts, 140404 and 341232, that added together give a square (481636 = 6942).

The spelling of 140404341232 in words is "one hundred forty billion, four hundred four million, three hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 29 34 58 61 68 103 116 122 136 206 232 244 272 412 464 488 493 824 976 986 1037 1648 1751 1769 1972 2074 2833 2987 3502 3538 3944 4148 5666 5974 6283 7004 7076 7888 8296 11332 11948 12566 14008 14152 16592 22664 23896 25132 28016 28304 30073 45328 47792 48161 50264 50779 60146 82157 96322 100528 101558 106811 120292 164314 172813 182207 192644 203116 213622 240584 291799 328628 345626 364414 385288 406232 427244 481168 583598 657256 691252 728828 770576 812464 854488 1167196 1314512 1382504 1396669 1457656 1708976 2334392 2765008 2793338 2915312 2937821 3097519 4668784 4960583 5011577 5586676 5875642 6195038 8462171 9921166 10023154 11173352 11751284 12390076 16924342 17799739 19842332 20046308 22346704 23502568 24780152 33848684 35599478 39684664 40092616 47005136 49560304 67697368 71198956 79369328 80185232 85196809 135394736 142397912 143856907 170393618 284795824 287713814 302595563 340787236 516192431 575427628 605191126 681574472 1032384862 1150855256 1210382252 1363148944 2064769724 2301710512 2420764504 4129539448 4841529008 8259078896 8775271327 17550542654 35101085308 70202170616 140404341232