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31406140061540 = 225171033779237313
BaseRepresentation
bin1110010010000010011111…
…10100100111011101100100
311010012101201220021222221122
413021001033310213131210
513104024233323432130
6150443440452433112
76421006266612266
oct711011764473544
9133171656258848
1031406140061540
11a0092a6343472
123632878918798
13146a78114121a
147a80cb223b36
15396e2bedb2e5
hex1c904fd27764

31406140061540 has 96 divisors (see below), whose sum is σ = 70529417038080. Its totient is φ = 11705549193216.

The previous prime is 31406140061519. The next prime is 31406140061561. The reversal of 31406140061540 is 4516004160413.

It is an interprime number because it is at equal distance from previous prime (31406140061519) and next prime (31406140061561).

It is a self number, because there is not a number n which added to its sum of digits gives 31406140061540.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132221924 + ... + 132459236.

It is an arithmetic number, because the mean of its divisors is an integer number (734681427480).

Almost surely, 231406140061540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31406140061540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35264708519040).

31406140061540 is an abundant number, since it is smaller than the sum of its proper divisors (39123276976540).

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

31406140061540 is a wasteful number, since it uses less digits than its factorization.

31406140061540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241221 (or 241219 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 31406140061540 in words is "thirty-one trillion, four hundred six billion, one hundred forty million, sixty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 103 170 206 340 412 515 1030 1751 2060 3502 3779 7004 7558 8755 15116 17510 18895 35020 37790 64243 75580 128486 237313 256972 321215 389237 474626 642430 778474 949252 1186565 1284860 1556948 1946185 2373130 3892370 4034321 4746260 6617029 7784740 8068642 13234058 16137284 20171605 24443239 26468116 33085145 40343210 48886478 66170290 80686420 97772956 122216195 132340580 244432390 415535063 488864780 831070126 896805827 1662140252 1793611654 2077675315 3587223308 4155350630 4484029135 8310701260 8968058270 15245699059 17936116540 30491398118 60982796236 76228495295 92371000181 152456990590 184742000362 304913981180 369484000724 461855000905 923710001810 1570307003077 1847420003620 3140614006154 6281228012308 7851535015385 15703070030770 31406140061540