Search a number
-
+
332134421004 = 22334344170793
BaseRepresentation
bin1001101010101001100…
…00010001001000001100
31011202022000111202022000
410311110300101020030
520420202402433004
6412325213152300
732665412666061
oct4652460211014
91152260452260
10332134421004
11118948249431
125445318b690
1325421473bc9
141210ac36c68
15898d89dc39
hex4d54c1120c

332134421004 has 48 divisors (see below), whose sum is σ = 861121225440. Its totient is φ = 110707361280.

The previous prime is 332134420993. The next prime is 332134421033. The reversal of 332134421004 is 400124431233.

332134421004 is a `hidden beast` number, since 3 + 3 + 213 + 442 + 1 + 0 + 0 + 4 = 666.

It is a super-2 number, since 2×3321344210042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4656232 + ... + 4727024.

It is an arithmetic number, because the mean of its divisors is an integer number (17940025530).

Almost surely, 2332134421004 is an apocalyptic number.

It is an amenable number.

332134421004 is an abundant number, since it is smaller than the sum of its proper divisors (528986804436).

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

332134421004 is a wasteful number, since it uses less digits than its factorization.

332134421004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114247 (or 114239 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 332134421004 its reverse (400124431233), we get a palindrome (732258852237).

The spelling of 332134421004 in words is "three hundred thirty-two billion, one hundred thirty-four million, four hundred twenty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 43441 70793 86882 130323 141586 173764 212379 260646 283172 390969 424758 521292 637137 781938 849516 1172907 1274274 1563876 1911411 2345814 2548548 3822822 4691628 7645644 3075318713 6150637426 9225956139 12301274852 18451912278 27677868417 36903824556 55355736834 83033605251 110711473668 166067210502 332134421004