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31414441312120 = 23523165383206467
BaseRepresentation
bin1110010010010001111101…
…00111010111111101111000
311010020012011102120012221211
413021020332213113331320
513104143233433441440
6150451332313212504
76421422066231106
oct711107647277570
9133205142505854
1031414441312120
11a011876169939
1236343b4a01134
13146b4a4bcc409
147a8677908c76
15397265b90eea
hex1c923e9d7f78

31414441312120 has 64 divisors (see below), whose sum is σ = 73756448017920. Its totient is φ = 12019307524224.

The previous prime is 31414441312103. The next prime is 31414441312127. The reversal of 31414441312120 is 2121314441413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31414441312127) 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, 152049127 + ... + 152255593.

It is an arithmetic number, because the mean of its divisors is an integer number (1152444500280).

Almost surely, 231414441312120 is an apocalyptic number.

It is an amenable number.

31414441312120 is an abundant number, since it is smaller than the sum of its proper divisors (42342006705800).

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

31414441312120 is a wasteful number, since it uses less digits than its factorization.

31414441312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371884 (or 371880 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 31414441312120 its reverse (2121314441413), we get a palindrome (33535755753533).

The spelling of 31414441312120 in words is "thirty-one trillion, four hundred fourteen billion, four hundred forty-one million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 165383 206467 330766 412934 661532 825868 826915 1032335 1323064 1651736 1653830 2064670 3307660 3803809 4129340 4748741 6615320 7607618 8258680 9497482 15215236 18994964 19019045 23743705 30430472 37989928 38038090 47487410 76076180 94974820 152152360 189949640 34146131861 68292263722 136584527444 170730659305 273169054888 341461318610 682922637220 785361032803 1365845274440 1570722065606 3141444131212 3926805164015 6282888262424 7853610328030 15707220656060 31414441312120