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1416291402516 = 2231931474263421
BaseRepresentation
bin10100100111000001100…
…010111100001100010100
312000101200210010210101020
4110213001202330030110
5141201031044340031
63002345120001140
7204216010201254
oct24470142741424
95011623123336
101416291402516
114a6711635111
121aa5a11601b0
13a372bb6a813
144c798153964
1526c93517096
hex149c18bc314

1416291402516 has 96 divisors (see below), whose sum is σ = 3667225067520. Its totient is φ = 423613411200.

The previous prime is 1416291402511. The next prime is 1416291402521. The reversal of 1416291402516 is 6152041926141.

It is an interprime number because it is at equal distance from previous prime (1416291402511) and next prime (1416291402521).

It is a super-2 number, since 2×14162914025162 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1416291402511) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1799515 + ... + 2463906.

It is an arithmetic number, because the mean of its divisors is an integer number (38200261120).

Almost surely, 21416291402516 is an apocalyptic number.

It is an amenable number.

1416291402516 is an abundant number, since it is smaller than the sum of its proper divisors (2250933665004).

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

1416291402516 is a wasteful number, since it uses less digits than its factorization.

1416291402516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4263525 (or 4263523 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 1416291402516 in words is "one trillion, four hundred sixteen billion, two hundred ninety-one million, four hundred two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 19 31 38 47 57 62 76 93 94 114 124 141 186 188 228 282 372 564 589 893 1178 1457 1767 1786 2356 2679 2914 3534 3572 4371 5358 5828 7068 8742 10716 17484 27683 55366 83049 110732 166098 332196 4263421 8526842 12790263 17053684 25580526 51161052 81004999 132166051 162009998 200380787 243014997 264332102 324019996 396498153 400761574 486029994 528664204 601142361 792996306 801523148 972059988 1202284722 1585992612 2404569444 2511154969 3807234953 5022309938 6211804397 7533464907 7614469906 10044619876 11421704859 12423608794 15066929814 15228939812 18635413191 22843409718 24847217588 30133859628 37270826382 45686819436 74541652764 118024283543 236048567086 354072850629 472097134172 708145701258 1416291402516