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432342114040 = 23529616109979
BaseRepresentation
bin1100100101010011001…
…10010001111011111000
31112022221122221222211101
412102221212101323320
524040414040122130
6530340515541144
743143561222454
oct6225146217370
91468848858741
10432342114040
1115739a941371
126b95a5ba7b4
1331a01002425
1416cd56bd664
15b3a5e621ca
hex64a9991ef8

432342114040 has 64 divisors (see below), whose sum is σ = 1022810652000. Its totient is φ = 164236208640.

The previous prime is 432342114023. The next prime is 432342114041. The reversal of 432342114040 is 40411243234.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432342114041) 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, 2984230 + ... + 3125749.

Almost surely, 2432342114040 is an apocalyptic number.

432342114040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432342114040 is an abundant number, since it is smaller than the sum of its proper divisors (590468537960).

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

432342114040 is a wasteful number, since it uses less digits than its factorization.

432342114040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6110080 (or 6110076 counting only the distinct ones).

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

Adding to 432342114040 its reverse (40411243234), we get a palindrome (472753357274).

The spelling of 432342114040 in words is "four hundred thirty-two billion, three hundred forty-two million, one hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 61 116 122 145 232 244 290 305 488 580 610 1160 1220 1769 2440 3538 7076 8845 14152 17690 35380 70760 6109979 12219958 24439916 30549895 48879832 61099790 122199580 177189391 244399160 354378782 372708719 708757564 745417438 885946955 1417515128 1490834876 1771893910 1863543595 2981669752 3543787820 3727087190 7087575640 7454174380 10808552851 14908348760 21617105702 43234211404 54042764255 86468422808 108085528510 216171057020 432342114040