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6141229956 = 22323723532
BaseRepresentation
bin1011011100000101…
…11011101110000100
3120211222210210202100
411232002323232010
5100034123324311
62453215512100
7305120410341
oct55602735604
916758723670
106141229956
112671622a64
121234828630
1376b416ba4
144238937c8
1525e233a56
hex16e0bbb84

6141229956 has 81 divisors (see below), whose sum is σ = 15999887631. Its totient is φ = 1986107904.

The previous prime is 6141229933. The next prime is 6141229999. The reversal of 6141229956 is 6599221416.

The square root of 6141229956 is 78366.

It is a perfect power (a square), and thus also a powerful number.

6141229956 is a `hidden beast` number, since 614 + 1 + 2 + 29 + 9 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 765407556 + 5375822400 = 27666^2 + 73320^2 .

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 26 ways as a sum of consecutive naturals, for example, 17397076 + ... + 17397428.

Almost surely, 26141229956 is an apocalyptic number.

6141229956 is the 78366-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6141229956

6141229956 is an abundant number, since it is smaller than the sum of its proper divisors (9858657675).

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

6141229956 is a wasteful number, since it uses less digits than its factorization.

6141229956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 395 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The cubic root of 6141229956 is about 1831.2674942071.

The spelling of 6141229956 in words is "six billion, one hundred forty-one million, two hundred twenty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 353 444 666 706 1059 1332 1369 1412 2118 2738 3177 4107 4236 5476 6354 8214 12321 12708 13061 16428 24642 26122 39183 49284 52244 78366 117549 124609 156732 235098 249218 373827 470196 483257 498436 747654 966514 1121481 1449771 1495308 1933028 2242962 2899542 4349313 4485924 4610533 5799084 8698626 9221066 13831599 17397252 18442132 27663198 41494797 55326396 82989594 165979188 170589721 341179442 511769163 682358884 1023538326 1535307489 2047076652 3070614978 6141229956