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34214641362 = 232111943211507
BaseRepresentation
bin11111110111010110…
…011111111011010010
310021022110212212102100
4133313112133323102
51030032422010422
623415030301230
72320604436666
oct376726377322
9107273785370
1034214641362
1113568300510
12676a4b7816
1332c35c9125
1419280b28a6
15d53b4b7ac
hex7f759fed2

34214641362 has 96 divisors (see below), whose sum is σ = 87107454720. Its totient is φ = 9593912160.

The previous prime is 34214641333. The next prime is 34214641367. The reversal of 34214641362 is 26314641243.

34214641362 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 4 + 641 + 3 + 6 + 2 = 666.

It is a super-4 number, since 4×342146413624 (a number of 43 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (34214641367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56013 + ... + 267519.

It is an arithmetic number, because the mean of its divisors is an integer number (907369320).

Almost surely, 234214641362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34214641362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43553727360).

34214641362 is an abundant number, since it is smaller than the sum of its proper divisors (52892813358).

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

34214641362 is a wasteful number, since it uses less digits than its factorization.

34214641362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211588 (or 211585 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 34214 and 641362, that added together give a palindrome (675576).

The spelling of 34214641362 in words is "thirty-four billion, two hundred fourteen million, six hundred forty-one thousand, three hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 43 57 66 86 99 114 129 171 198 209 258 342 387 418 473 627 774 817 946 1254 1419 1634 1881 2451 2838 3762 4257 4902 7353 8514 8987 14706 17974 26961 53922 80883 161766 211507 423014 634521 1269042 1903563 2326577 3807126 4018633 4653154 6979731 8037266 9094801 12055899 13959462 18189602 20939193 24111798 27284403 36167697 41878386 44204963 54568806 72335394 81853209 88409926 100042811 132614889 163706418 172801219 200085622 265229778 300128433 345602438 397844667 518403657 600256866 795689334 900385299 1036807314 1555210971 1800770598 1900813409 3110421942 3801626818 5702440227 11404880454 17107320681 34214641362