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141428916 = 223817317
BaseRepresentation
bin10000110111000…
…00100010110100
3100212010100000000
420123200202310
5242201211131
622011151300
73335061126
oct1033404264
9325110000
10141428916
1172918702
123b445530
13233ba865
1414ad7216
15c639ce6
hex86e08b4

141428916 has 108 divisors (see below), whose sum is σ = 394309188. Its totient is φ = 44229888.

The previous prime is 141428887. The next prime is 141428953. The reversal of 141428916 is 619824141.

141428916 is a `hidden beast` number, since 141 + 428 + 91 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53144100 + 88284816 = 7290^2 + 9396^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 445990 + ... + 446306.

It is an arithmetic number, because the mean of its divisors is an integer number (3651011).

Almost surely, 2141428916 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 141428916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197154594).

141428916 is an abundant number, since it is smaller than the sum of its proper divisors (252880272).

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

141428916 is an equidigital number, since it uses as much as digits as its factorization.

141428916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 339 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 141428916 is about 11892.3889946470. The cubic root of 141428916 is about 521.0100142612.

The spelling of 141428916 in words is "one hundred forty-one million, four hundred twenty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 317 324 459 486 612 634 729 918 951 972 1268 1377 1458 1836 1902 2187 2754 2853 2916 3804 4131 4374 5389 5508 5706 6561 8262 8559 8748 10778 11412 12393 13122 16167 16524 17118 21556 24786 25677 26244 32334 34236 37179 48501 49572 51354 64668 74358 77031 97002 102708 111537 145503 148716 154062 194004 223074 231093 291006 308124 436509 446148 462186 582012 693279 873018 924372 1309527 1386558 1746036 2079837 2619054 2773116 3928581 4159674 5238108 7857162 8319348 11785743 15714324 23571486 35357229 47142972 70714458 141428916