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1139957665344 = 263649432
BaseRepresentation
bin10000100101101010110…
…001011000111001000000
311000222102121110111000000
4100211222301120321000
5122134113130242334
62231404521000000
7145234133164461
oct20455261307100
94028377414000
101139957665344
113aa4a9424413
12164b21623000
1383661157434
143d2621b4d68
151e9bd8c4299
hex1096ac58e40

1139957665344 has 147 divisors (see below), whose sum is σ = 3392290008523. Its totient is φ = 379909014912.

The previous prime is 1139957665339. The next prime is 1139957665381. The reversal of 1139957665344 is 4435667599311.

The square root of 1139957665344 is 1067688.

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

1139957665344 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 9 + 576 + 6 + 53 + 4 + 4 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 230618137 + ... + 230623079.

Almost surely, 21139957665344 is an apocalyptic number.

1139957665344 is the 1067688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1139957665344

1139957665344 is an abundant number, since it is smaller than the sum of its proper divisors (2252332343179).

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

1139957665344 is an frugal number, since it uses more digits than its factorization.

1139957665344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9916 (or 4948 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 63.

The spelling of 1139957665344 in words is "one trillion, one hundred thirty-nine billion, nine hundred fifty-seven million, six hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 4943 5184 5832 7776 9886 11664 14829 15552 19772 23328 29658 39544 44487 46656 59316 79088 88974 118632 133461 158176 177948 237264 266922 316352 355896 400383 474528 533844 711792 800766 949056 1067688 1201149 1423584 1601532 2135376 2402298 2847168 3203064 3603447 4270752 4804596 6406128 7206894 8541504 9609192 12812256 14413788 19218384 24433249 25624512 28827576 38436768 48866498 57655152 73299747 76873536 97732996 115310304 146599494 195465992 219899241 230620608 293198988 390931984 439798482 586397976 659697723 781863968 879596964 1172795952 1319395446 1563727936 1759193928 1979093169 2345591904 2638790892 3518387856 3958186338 4691183808 5277581784 5937279507 7036775712 7916372676 10555163568 11874559014 14073551424 15832745352 17811838521 21110327136 23749118028 31665490704 35623677042 42220654272 47498236056 63330981408 71247354084 94996472112 126661962816 142494708168 189992944224 284989416336 379985888448 569978832672 1139957665344