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10140432025444 = 2272349601246661
BaseRepresentation
bin1001001110010000000011…
…0110010100011101100100
31022220102020010212022001221
42103210000312110131210
52312120101044303234
633322241122430124
72064423234021100
oct223440066243544
938812203768057
1010140432025444
11325a595577286
12117934a202344
13587314392976
14270b29c9a900
15128b98a51eb4
hex93900d94764

10140432025444 has 72 divisors (see below), whose sum is σ = 20736701676600. Its totient is φ = 4326219072000.

The previous prime is 10140432025379. The next prime is 10140432025489. The reversal of 10140432025444 is 44452023404101.

It can be written as a sum of positive squares in 4 ways, for example, as 6522303054400 + 3618128971044 = 2553880^2 + 1902138^2 .

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, 40987474 + ... + 41234134.

Almost surely, 210140432025444 is an apocalyptic number.

10140432025444 is a gapful number since it is divisible by the number (14) 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 10140432025444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10368350838300).

10140432025444 is an abundant number, since it is smaller than the sum of its proper divisors (10596269651156).

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

10140432025444 is a wasteful number, since it uses less digits than its factorization.

10140432025444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247629 (or 247620 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 10140432025444 its reverse (44452023404101), we get a palindrome (54592455429545).

The spelling of 10140432025444 in words is "ten trillion, one hundred forty billion, four hundred thirty-two million, twenty-five thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 349 601 698 1202 1396 2404 2443 4207 4886 8414 9772 16828 17101 29449 34202 58898 68404 117796 209749 246661 419498 493322 838996 986644 1468243 1726627 2936486 3453254 5872972 6906508 10277701 12086389 20555402 24172778 41110804 48345556 86084689 148243261 172169378 296486522 344338756 592973044 602592823 1037702827 1205185646 2075405654 2410371292 4150811308 4218149761 7263919789 8436299522 14527839578 16872599044 29055679156 51736898089 103473796178 206947592356 362158286623 724316573246 1448633146492 2535108006361 5070216012722 10140432025444