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313424511040 = 26529220315331
BaseRepresentation
bin1001000111110011000…
…11101000000001000000
31002222000002111211212201
410203321203220001000
520113343133323130
6355552451002544
731433644246444
oct4437143500100
91088002454781
10313424511040
11110a16a69123
12508b1299454
132372c144674
1411254012824
158246016bca
hex48f98e8040

313424511040 has 112 divisors (see below), whose sum is σ = 772478902080. Its totient is φ = 120983869440.

The previous prime is 313424511013. The next prime is 313424511067. The reversal of 313424511040 is 40115424313.

It is an interprime number because it is at equal distance from previous prime (313424511013) and next prime (313424511067).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20436175 + ... + 20451505.

Almost surely, 2313424511040 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 313424511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386239451040).

313424511040 is an abundant number, since it is smaller than the sum of its proper divisors (459054391040).

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

313424511040 is a wasteful number, since it uses less digits than its factorization.

313424511040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17580 (or 17570 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 313424511040 its reverse (40115424313), we get a palindrome (353539935353).

It can be divided in two parts, 313424 and 511040, that added together give a square (824464 = 9082).

The spelling of 313424511040 in words is "three hundred thirteen billion, four hundred twenty-four million, five hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2203 2320 4406 4640 8812 9280 11015 15331 17624 22030 30662 35248 44060 61324 63887 70496 76655 88120 122648 127774 140992 153310 176240 245296 255548 306620 319435 352480 444599 490592 511096 613240 638870 704960 889198 981184 1022192 1226480 1277740 1778396 2044384 2222995 2452960 2555480 3556792 4088768 4445990 4905920 5110960 7113584 8891980 10221920 14227168 17783960 20443840 28454336 33774193 35567920 67548386 71135840 135096772 142271680 168870965 270193544 337741930 540387088 675483860 979451597 1080774176 1350967720 1958903194 2161548352 2701935440 3917806388 4897257985 5403870880 7835612776 9794515970 10807741760 15671225552 19589031940 31342451104 39178063880 62684902208 78356127760 156712255520 313424511040