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31435356642 = 2317715577793
BaseRepresentation
bin11101010001101100…
…010111100111100010
310000010210011120112020
4131101230113213202
51003334422403032
622235144442310
72161666060044
oct352154274742
9100123146466
1031435356642
1112371491798
126113779396
132c6c872a61
141742d21a94
15c3eb54b2c
hex751b179e2

31435356642 has 64 divisors (see below), whose sum is σ = 67636456704. Its totient is φ = 9704468480.

The previous prime is 31435356613. The next prime is 31435356647. The reversal of 31435356642 is 24665353413.

It is a junction number, because it is equal to n+sod(n) for n = 31435356594 and 31435356603.

It is not an unprimeable number, because it can be changed into a prime (31435356647) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4029898 + ... + 4037690.

It is an arithmetic number, because the mean of its divisors is an integer number (1056819636).

Almost surely, 231435356642 is an apocalyptic number.

31435356642 is an abundant number, since it is smaller than the sum of its proper divisors (36201100062).

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

31435356642 is a wasteful number, since it uses less digits than its factorization.

31435356642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8443.

The product of its digits is 777600, while the sum is 42.

The spelling of 31435356642 in words is "thirty-one billion, four hundred thirty-five million, three hundred fifty-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 17 34 51 71 102 142 213 426 557 1114 1207 1671 2414 3342 3621 7242 7793 9469 15586 18938 23379 28407 39547 46758 56814 79094 118641 132481 237282 264962 397443 553303 672299 794886 1106606 1344598 1659909 2016897 3319818 4033794 4340701 8681402 9406151 13022103 18812302 26044206 28218453 56436906 73791917 147583834 221375751 308189771 442751502 616379542 924569313 1849138626 5239226107 10478452214 15717678321 31435356642