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1054310201514 = 233192157344483
BaseRepresentation
bin11110101011110011100…
…10001111100010101010
310201210100200122112001000
433111321302033202222
5114233211402422024
62124202102335430
7136112534563653
oct17257162174252
93653320575030
101054310201514
11377148694159
121503ba42a576
1378561cba25b
143905939852a
151c659707cc9
hexf579c8f8aa

1054310201514 has 96 divisors (see below), whose sum is σ = 2488469739840. Its totient is φ = 330818465952.

The previous prime is 1054310201513. The next prime is 1054310201521. The reversal of 1054310201514 is 4151020134501.

1054310201514 is a `hidden beast` number, since 1 + 0 + 5 + 43 + 102 + 0 + 1 + 514 = 666.

It is a super-2 number, since 2×10543102015142 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1054310201513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2888317 + ... + 3232799.

It is an arithmetic number, because the mean of its divisors is an integer number (25921559790).

Almost surely, 21054310201514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054310201514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244234869920).

1054310201514 is an abundant number, since it is smaller than the sum of its proper divisors (1434159538326).

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

1054310201514 is a wasteful number, since it uses less digits than its factorization.

1054310201514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344689 (or 344664 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 1054310201514 in words is "one trillion, fifty-four billion, three hundred ten million, two hundred one thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 157 171 314 342 361 471 513 722 942 1026 1083 1413 2166 2826 2983 3249 4239 5966 6498 8478 8949 9747 17898 19494 26847 53694 56677 80541 113354 161082 170031 340062 344483 510093 688966 1020186 1033449 1530279 2066898 3060558 3100347 6200694 6545177 9301041 13090354 18602082 19635531 39271062 54083831 58906593 108167662 117813186 124358363 162251493 176719779 248716726 324502986 353439558 373075089 486754479 746150178 973508958 1027592789 1119225267 1460263437 2055185578 2238450534 2920526874 3082778367 3357675801 6165556734 6715351602 9248335101 18496670202 19524262991 27745005303 39048525982 55490010606 58572788973 117145577946 175718366919 351436733838 527155100757 1054310201514