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310045314540 = 223513247650563
BaseRepresentation
bin1001000001100000010…
…01000000110111101100
31002122021120221212201210
410200300021000313230
520034433100031130
6354233255034420
731254132455553
oct4406011006754
91078246855653
10310045314540
1110a542551845
125010966ba10
1323311023900
14110132dcd9a
1580e951d5b0
hex4830240dec

310045314540 has 144 divisors (see below), whose sum is σ = 960045101568. Its totient is φ = 74694926592.

The previous prime is 310045314517. The next prime is 310045314581. The reversal of 310045314540 is 45413540013.

It is a super-2 number, since 2×3100453145402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 310045314498 and 310045314507.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151299 + ... + 801861.

It is an arithmetic number, because the mean of its divisors is an integer number (6666979872).

Almost surely, 2310045314540 is an apocalyptic number.

310045314540 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 310045314540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480022550784).

310045314540 is an abundant number, since it is smaller than the sum of its proper divisors (649999787028).

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

310045314540 is a wasteful number, since it uses less digits than its factorization.

310045314540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650648 (or 650633 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 310045314540 its reverse (45413540013), we get a palindrome (355458854553).

The spelling of 310045314540 in words is "three hundred ten billion, forty-five million, three hundred fourteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 47 52 60 65 78 94 130 141 156 169 188 195 235 260 282 338 390 470 507 564 611 676 705 780 845 940 1014 1222 1410 1690 1833 2028 2444 2535 2820 3055 3380 3666 5070 6110 7332 7943 9165 10140 12220 15886 18330 23829 31772 36660 39715 47658 79430 95316 119145 158860 238290 476580 650563 1301126 1951689 2602252 3252815 3903378 6505630 7806756 8457319 9758445 13011260 16914638 19516890 25371957 30576461 33829276 39033780 42286595 50743914 61152922 84573190 91729383 101487828 109945147 122305844 126859785 152882305 169146380 183458766 219890294 253719570 305764610 329835441 366917532 397493993 439780588 458646915 507439140 549725735 611529220 659670882 794987986 917293830 1099451470 1192481979 1319341764 1589975972 1649177205 1834587660 1987469965 2198902940 2384963958 3298354410 3974939930 4769927916 5167421909 5962409895 6596708820 7949879860 10334843818 11924819790 15502265727 20669687636 23849639580 25837109545 31004531454 51674219090 62009062908 77511328635 103348438180 155022657270 310045314540