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31209357942 = 2337312699901
BaseRepresentation
bin11101000100001110…
…010000001001110110
32222120000220122121000
4131010032100021312
51002404043423232
622200512504130
72153253110520
oct350416201166
988500818530
1031209357942
1112265961604
12606bb4b046
132c34ab4b09
141720cd2a10
15c29db227c
hex744390276

31209357942 has 128 divisors (see below), whose sum is σ = 82131148800. Its totient is φ = 8596368000.

The previous prime is 31209357941. The next prime is 31209357947. The reversal of 31209357942 is 24975390213.

31209357942 is a `hidden beast` number, since 3 + 1 + 209 + 357 + 94 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31209357941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3147192 + ... + 3157092.

It is an arithmetic number, because the mean of its divisors is an integer number (641649600).

Almost surely, 231209357942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31209357942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41065574400).

31209357942 is an abundant number, since it is smaller than the sum of its proper divisors (50921790858).

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

31209357942 is a wasteful number, since it uses less digits than its factorization.

31209357942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10219 (or 10213 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 31209357942 in words is "thirty-one billion, two hundred nine million, three hundred fifty-seven thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 269 279 378 434 538 558 651 807 837 1302 1614 1674 1883 1953 2421 3766 3906 4842 5649 5859 7263 8339 9901 11298 11718 14526 16678 16947 19802 25017 29703 33894 50034 50841 58373 59406 69307 75051 89109 101682 116746 138614 150102 175119 178218 207921 225153 267327 306931 350238 415842 450306 525357 534654 613862 623763 920793 1050714 1247526 1576071 1841586 1871289 2148517 2663369 2762379 3152142 3742578 4297034 5326738 5524758 6445551 7990107 8287137 12891102 15980214 16574274 18643583 19336653 23970321 37287166 38673306 47940642 55930749 58009959 71910963 82564439 111861498 116019918 143821926 165128878 167792247 247693317 335584494 495386634 503376741 577951073 743079951 1006753482 1155902146 1486159902 1733853219 2229239853 3467706438 4458479706 5201559657 10403119314 15604678971 31209357942