Search a number
-
+
3404984122936 = 231159964967967
BaseRepresentation
bin110001100011001000110…
…111100111111000111000
3110001111212012100022202201
4301203020313213320320
5421241401413413221
611124121134435544
7501000452334544
oct61431067477070
913044765308681
103404984122936
1110a3055851440
1246baaa362bb4
131b911c92b1c6
14bab32dc6a24
155d8889a9891
hex318c8de7e38

3404984122936 has 64 divisors (see below), whose sum is σ = 7083624960000. Its totient is φ = 1521307445760.

The previous prime is 3404984122889. The next prime is 3404984122987. The reversal of 3404984122936 is 6392214894043.

It is a super-2 number, since 2×34049841229362 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50063625 + ... + 50131591.

It is an arithmetic number, because the mean of its divisors is an integer number (110681640000).

Almost surely, 23404984122936 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 3404984122936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541812480000).

3404984122936 is an abundant number, since it is smaller than the sum of its proper divisors (3678640837064).

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

3404984122936 is a wasteful number, since it uses less digits than its factorization.

3404984122936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77692 (or 77688 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 55.

The spelling of 3404984122936 in words is "three trillion, four hundred four billion, nine hundred eighty-four million, one hundred twenty-two thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 59 88 118 236 472 649 1298 2596 5192 9649 19298 38596 67967 77192 106139 135934 212278 271868 424556 543736 569291 747637 849112 1138582 1495274 2277164 2990548 4010053 4554328 5981096 6262201 8020106 12524402 16040212 25048804 32080424 44110583 50097608 88221166 176442332 352884664 655813583 1311627166 2623254332 5246508664 7213949413 14427898826 28855797652 38693001397 57711595304 77386002794 154772005588 309544011176 425623015367 851246030734 1702492061468 3404984122936