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314536153740 = 223531331351043
BaseRepresentation
bin1001001001110111101…
…00001101001010001100
31010001212120021010222120
410210323310031022030
520123132223404430
6400255041212540
731503333123324
oct4447364151214
91101776233876
10314536153740
111114375057a6
1250b61631150
1323878540803
141131b902284
1582ad8ec610
hex493bd0d28c

314536153740 has 96 divisors (see below), whose sum is σ = 909403170816. Its totient is φ = 81144529920.

The previous prime is 314536153727. The next prime is 314536153741. The reversal of 314536153740 is 47351635413.

It is a junction number, because it is equal to n+sod(n) for n = 314536153692 and 314536153701.

It is not an unprimeable number, because it can be changed into a prime (314536153741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6136659 + ... + 6187701.

It is an arithmetic number, because the mean of its divisors is an integer number (9472949696).

Almost surely, 2314536153740 is an apocalyptic number.

314536153740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314536153740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454701585408).

314536153740 is an abundant number, since it is smaller than the sum of its proper divisors (594867017076).

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

314536153740 is a wasteful number, since it uses less digits than its factorization.

314536153740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54399 (or 54397 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 314536153740 in words is "three hundred fourteen billion, five hundred thirty-six million, one hundred fifty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 3313 6626 9939 13252 16565 19878 33130 39756 49695 51043 66260 99390 102086 102703 153129 198780 204172 205406 255215 306258 308109 410812 510430 513515 612516 616218 765645 1020860 1027030 1232436 1531290 1540545 1582333 2054060 3062580 3081090 3164666 4746999 6162180 6329332 7911665 9493998 15823330 18987996 23734995 31646660 47469990 94939980 169105459 338210918 507316377 676421836 845527295 1014632754 1691054590 2029265508 2536581885 3382109180 5073163770 5242269229 10146327540 10484538458 15726807687 20969076916 26211346145 31453615374 52422692290 62907230748 78634038435 104845384580 157268076870 314536153740