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245431412244 = 2232373134593
BaseRepresentation
bin1110010010010011011…
…0100010011000010100
3212110111112111112220100
43210210312202120110
513010120420142434
6304425530534100
723506006403634
oct3444466423024
9773445445810
10245431412244
11950a56a7697
123b696597330
131a1b471c625
14bc43b706c4
1565b6bcd699
hex3924da2614

245431412244 has 72 divisors (see below), whose sum is σ = 637633691240. Its totient is φ = 79598785536.

The previous prime is 245431412221. The next prime is 245431412273. The reversal of 245431412244 is 442214134542.

245431412244 is a `hidden beast` number, since 2 + 454 + 3 + 141 + 22 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60885562500 + 184545849744 = 246750^2 + 429588^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 245431412199 and 245431412208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1756212 + ... + 1890804.

Almost surely, 2245431412244 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 245431412244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318816845620).

245431412244 is an abundant number, since it is smaller than the sum of its proper divisors (392202278996).

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

245431412244 is a wasteful number, since it uses less digits than its factorization.

245431412244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134714 (or 134635 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

Adding to 245431412244 its reverse (442214134542), we get a palindrome (687645546786).

The spelling of 245431412244 in words is "two hundred forty-five billion, four hundred thirty-one million, four hundred twelve thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1369 2738 4107 5476 8214 12321 16428 24642 49284 50653 101306 134593 151959 202612 269186 303918 403779 455877 538372 607836 807558 911754 1211337 1615116 1823508 2422674 4845348 4979941 9959882 14939823 19919764 29879646 44819469 59759292 89638938 179277876 184257817 368515634 552773451 737031268 1105546902 1658320353 2211093804 3316640706 6633281412 6817539229 13635078458 20452617687 27270156916 40905235374 61357853061 81810470748 122715706122 245431412244