Search a number
-
+
1139506414956 = 22327132315123247
BaseRepresentation
bin10000100101001111111…
…000000000010101101100
311000221021011100120211200
4100211033320000111230
5122132202120234311
62231252041045500
7145220013466620
oct20451770002554
94027234316750
101139506414956
113aa297734308
12164a16486890
13835bb810580
143d21c2ad180
151e993e8a556
hex1094fe0056c

1139506414956 has 144 divisors (see below), whose sum is σ = 3699267446784. Its totient is φ = 287462659968.

The previous prime is 1139506414927. The next prime is 1139506414997. The reversal of 1139506414956 is 6594146059311.

1139506414956 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 506 + 41 + 4 + 95 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7486276 + ... + 7636971.

Almost surely, 21139506414956 is an apocalyptic number.

It is an amenable number.

1139506414956 is an abundant number, since it is smaller than the sum of its proper divisors (2559761031828).

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

1139506414956 is a wasteful number, since it uses less digits than its factorization.

1139506414956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15123300 (or 15123295 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 1139506414956 in words is "one trillion, one hundred thirty-nine billion, five hundred six million, four hundred fourteen thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 23 26 28 36 39 42 46 52 63 69 78 84 91 92 117 126 138 156 161 182 207 234 252 273 276 299 322 364 414 468 483 546 598 644 819 828 897 966 1092 1196 1449 1638 1794 1932 2093 2691 2898 3276 3588 4186 5382 5796 6279 8372 10764 12558 18837 25116 37674 75348 15123247 30246494 45369741 60492988 90739482 105862729 136109223 181478964 196602211 211725458 272218446 317588187 347834681 393204422 423450916 544436892 589806633 635176374 695669362 786408844 952764561 1043504043 1179613266 1270352748 1376215477 1391338724 1769419899 1905529122 2087008086 2359226532 2434842767 2752430954 3130512129 3538839798 3811058244 4128646431 4174016172 4521850853 4869685534 5504861908 6261024258 7077679596 7304528301 8257292862 9043701706 9739371068 12385939293 12522048516 13565552559 14609056602 16514585724 18087403412 21913584903 24771878586 27131105118 29218113204 31652955971 40696657677 43827169806 49543757172 54262210236 63305911942 81393315354 87654339612 94958867913 126611823884 162786630708 189917735826 284876603739 379835471652 569753207478 1139506414956