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31402141650 = 23252118217727
BaseRepresentation
bin11101001111101101…
…101010011111010010
310000001110200002010100
4131033231222133102
51003302422013100
622232000513230
72161113541245
oct351755523722
9100043602110
1031402141650
1112354765890
12610461b816
132c65a13609
14173c75725c
15c3bc93400
hex74fb6a7d2

31402141650 has 144 divisors (see below), whose sum is σ = 92160851328. Its totient is φ = 7602384000.

The previous prime is 31402141649. The next prime is 31402141669. The reversal of 31402141650 is 5614120413.

It is a happy number.

31402141650 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 2 + 1 + 4 + 1 + 650 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4060087 + ... + 4067813.

It is an arithmetic number, because the mean of its divisors is an integer number (640005912).

Almost surely, 231402141650 is an apocalyptic number.

31402141650 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31402141650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46080425664).

31402141650 is an abundant number, since it is smaller than the sum of its proper divisors (60758709678).

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

31402141650 is a wasteful number, since it uses less digits than its factorization.

31402141650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8577 (or 8569 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 31402141650 in words is "thirty-one billion, four hundred two million, one hundred forty-one thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 821 825 990 1642 1650 2463 2475 4105 4926 4950 7389 7727 8210 9031 12315 14778 15454 18062 20525 23181 24630 27093 36945 38635 41050 45155 46362 54186 61575 69543 73890 77270 81279 84997 90310 115905 123150 135465 139086 162558 169994 184725 193175 225775 231810 254991 270930 347715 369450 386350 406395 424985 451550 509982 579525 677325 695430 764973 812790 849970 1159050 1274955 1354650 1529946 1738575 2031975 2124925 2549910 3477150 3824865 4063950 4249850 6343867 6374775 7649730 12687734 12749550 19031601 19124325 31719335 38063202 38248650 57094803 63438670 69782537 95158005 114189606 139565074 158596675 190316010 209347611 285474015 317193350 348912685 418695222 475790025 570948030 628042833 697825370 951580050 1046738055 1256085666 1427370075 1744563425 2093476110 2854740150 3140214165 3489126850 5233690275 6280428330 10467380550 15701070825 31402141650