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1140345660064 = 251321032047211
BaseRepresentation
bin10000100110000001111…
…001011110001010100000
311001000102122112122200211
4100212001321132022200
5122140411442110224
62231511221023504
7145246554115432
oct20460171361240
94030378478624
101140345660064
113aa68843a606
1216500b554b94
13836c3654500
143d29b932652
151e9e29b5894
hex10981e5e2a0

1140345660064 has 72 divisors (see below), whose sum is σ = 2454639943392. Its totient is φ = 521203288320.

The previous prime is 1140345660049. The next prime is 1140345660067. The reversal of 1140345660064 is 4600665430411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1140345659999 and 1140345660026.

It is not an unprimeable number, because it can be changed into a prime (1140345660067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 466582 + ... + 1580629.

It is an arithmetic number, because the mean of its divisors is an integer number (34092221436).

Almost surely, 21140345660064 is an apocalyptic number.

It is an amenable number.

1140345660064 is an abundant number, since it is smaller than the sum of its proper divisors (1314294283328).

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

1140345660064 is a wasteful number, since it uses less digits than its factorization.

1140345660064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047350 (or 2047329 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 1140345660064 in words is "one trillion, one hundred forty billion, three hundred forty-five million, six hundred sixty thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 103 104 169 206 208 338 412 416 676 824 1339 1352 1648 2678 2704 3296 5356 5408 10712 17407 21424 34814 42848 69628 139256 278512 557024 2047211 4094422 8188844 16377688 26613743 32755376 53227486 65510752 106454972 210862733 212909944 345978659 421725466 425819888 691957318 843450932 851639776 1383914636 1686901864 2741215529 2767829272 3373803728 5482431058 5535658544 6747607456 10964862116 11071317088 21929724232 35635801877 43859448464 71271603754 87718896928 142543207508 285086415016 570172830032 1140345660064