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514201552331412 = 2231129809316597853
BaseRepresentation
bin111010011101010011110000…
…0110111101010001010010100
32111102122012002021202220001110
41310322213200313222022110
51014344134234344101122
65021340533154455020
7213210556550145021
oct16472474067521224
92442565067686043
10514201552331412
111399277210a2180
1249807857594470
13190bbcc941c6aa
1490d96b8c12548
153e6a8681a590c
hex1d3a9e0dea294

514201552331412 has 96 divisors (see below), whose sum is σ = 1354177745182080. Its totient is φ = 150426996590080.

The previous prime is 514201552331297. The next prime is 514201552331459. The reversal of 514201552331412 is 214133255102415.

It is a super-2 number, since 2×5142015523314122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22681078 + ... + 39278930.

It is an arithmetic number, because the mean of its divisors is an integer number (14106018178980).

Almost surely, 2514201552331412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514201552331412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677088872591040).

514201552331412 is an abundant number, since it is smaller than the sum of its proper divisors (839976192850668).

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

514201552331412 is a wasteful number, since it uses less digits than its factorization.

514201552331412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16605993 (or 16605991 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 514201552331412 in words is "five hundred fourteen trillion, two hundred one billion, five hundred fifty-two million, three hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3828 8093 16186 24279 32372 48558 89023 97116 178046 234697 267069 356092 469394 534138 704091 938788 1068276 1408182 2581667 2816364 5163334 7745001 10326668 15490002 16597853 30980004 33195706 49793559 66391412 99587118 182576383 199174236 365152766 481337737 547729149 730305532 962675474 1095458298 1444013211 1925350948 2190916596 2888026422 5294715107 5776052844 10589430214 15884145321 21178860428 31768290642 63536581284 134326424329 268652848658 402979272987 537305697316 805958545974 1477590667619 1611917091948 2955181335238 3895466305541 4432772002857 5910362670476 7790932611082 8865544005714 11686398916623 15581865222164 17731088011428 23372797833246 42850129360951 46745595666492 85700258721902 128550388082853 171400517443804 257100776165706 514201552331412