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431246642134 = 2711101149317587
BaseRepresentation
bin1100100011010000100…
…11011000101111010110
31112020010022122020212211
412101220103120233112
524031143120022014
6530040104104034
743104456656020
oct6215023305726
91466108566784
10431246642134
1115698853a090
126b6b376501a
13318880787b9
1416c2dddd010
15b33ebc2cc4
hex64684d8bd6

431246642134 has 128 divisors (see below), whose sum is σ = 823926297600. Its totient is φ = 164436288000.

The previous prime is 431246642107. The next prime is 431246642147.

431246642134 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 734661789 + ... + 734662375.

It is an arithmetic number, because the mean of its divisors is an integer number (6436924200).

Almost surely, 2431246642134 is an apocalyptic number.

431246642134 is a deficient number, since it is larger than the sum of its proper divisors (392679655466).

431246642134 is a wasteful number, since it uses less digits than its factorization.

431246642134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174.

The product of its digits is 331776, while the sum is 40.

The spelling of 431246642134 in words is "four hundred thirty-one billion, two hundred forty-six million, six hundred forty-two thousand, one hundred thirty-four".

Divisors: 1 2 7 11 14 22 77 101 149 154 202 298 317 587 634 707 1043 1111 1174 1414 1639 2086 2219 2222 3278 3487 4109 4438 6457 6974 7777 8218 11473 12914 15049 15554 22946 24409 30098 32017 45199 47233 48818 59287 64034 87463 90398 94466 105343 118574 165539 174926 186079 210686 224119 330631 331078 352187 372158 415009 448238 519563 612241 652157 661262 704374 830018 962093 1039126 1158773 1224482 1302553 1304314 1924186 2046869 2317546 2465309 2605106 3636941 4093738 4565099 4770533 4930618 6734651 7273882 8833763 9130198 9541066 13469302 14328083 17667526 18793979 27725771 28656166 33393731 37587958 52475863 55451542 61836341 66787462 97171393 104951726 123672682 131557853 194080397 194342786 206733769 263115706 304983481 367331041 388160794 413467538 609966962 680199751 734662082 1360399502 1447136383 2134884367 2800302871 2894272766 4269768734 5600605742 19602120097 30803331581 39204240194 61606663162 215623321067 431246642134