Search a number
-
+
3125215044 = 2232729499857
BaseRepresentation
bin1011101001000110…
…1111111101000100
322001210122101002100
42322101233331010
522400023340134
61234040112100
7140305614060
oct27221577504
98053571070
103125215044
111364114356
12732765630
133aa616093
142190bcaa0
15134579999
hexba46ff44

3125215044 has 144 divisors (see below), whose sum is σ = 9369360000. Its totient is φ = 859396608.

The previous prime is 3125215033. The next prime is 3125215063. The reversal of 3125215044 is 4405125213.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 3125214999 and 3125215017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3646264 + ... + 3647120.

It is an arithmetic number, because the mean of its divisors is an integer number (65065000).

Almost surely, 23125215044 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 3125215044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4684680000).

3125215044 is an abundant number, since it is smaller than the sum of its proper divisors (6244144956).

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

3125215044 is a wasteful number, since it uses less digits than its factorization.

3125215044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3125215044 is about 55903.6228164150. The cubic root of 3125215044 is about 1462.0424039356.

The spelling of 3125215044 in words is "three billion, one hundred twenty-five million, two hundred fifteen thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 499 522 609 812 857 998 1044 1218 1497 1714 1827 1996 2436 2571 2994 3428 3493 3654 4491 5142 5988 5999 6986 7308 7713 8982 10284 10479 11998 13972 14471 15426 17964 17997 20958 23996 24853 28942 30852 31437 35994 41916 43413 49706 53991 57884 62874 71988 74559 86826 99412 101297 107982 125748 130239 149118 173652 173971 202594 215964 223677 260478 298236 303891 347942 405188 427643 447354 520956 521913 607782 695884 855286 894708 911673 1043826 1215564 1282929 1565739 1710572 1823346 2087652 2565858 2993501 3131478 3646692 3848787 5131716 5987002 6262956 7697574 8980503 11974004 12401647 15395148 17961006 24803294 26941509 35922012 37204941 49606588 53883018 74409882 86811529 107766036 111614823 148819764 173623058 223229646 260434587 347246116 446459292 520869174 781303761 1041738348 1562607522 3125215044