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42430244001040 = 24574220898813
BaseRepresentation
bin10011010010111000011111…
…00111110001010100010000
312120020021212122202200011001
421221130033213301110100
521030134114431013130
6230124103543231344
711636325000160000
oct1151341747612420
9176207778680131
1042430244001040
1112579624647935
124913322a48554
131a8a20225426c
14a698c5b30000
154d8a948686ca
hex26970f9f1510

42430244001040 has 100 divisors (see below), whose sum is σ = 115085189510604. Its totient is φ = 14547512163072.

The previous prime is 42430244001007. The next prime is 42430244001059. The reversal of 42430244001040 is 4010044203424.

It can be written as a sum of positive squares in 2 ways, for example, as 11582750382336 + 30847493618704 = 3403344^2 + 5554052^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 110257327 + ... + 110641486.

Almost surely, 242430244001040 is an apocalyptic number.

42430244001040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42430244001040 is an abundant number, since it is smaller than the sum of its proper divisors (72654945509564).

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

42430244001040 is an equidigital number, since it uses as much as digits as its factorization.

42430244001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220898854 (or 220898827 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 42430244001040 its reverse (4010044203424), we get a palindrome (46440288204464).

The spelling of 42430244001040 in words is "forty-two trillion, four hundred thirty billion, two hundred forty-four million, one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 343 392 490 560 686 784 980 1372 1715 1960 2401 2744 3430 3920 4802 5488 6860 9604 12005 13720 19208 24010 27440 38416 48020 96040 192080 220898813 441797626 883595252 1104494065 1546291691 1767190504 2208988130 3092583382 3534381008 4417976260 6185166764 7731458455 8835952520 10824041837 12370333528 15462916910 17671905040 21648083674 24740667056 30925833820 43296167348 54120209185 61851667640 75768292859 86592334696 108240418370 123703335280 151536585718 173184669392 216480836740 303073171436 378841464295 432961673480 530378050013 606146342872 757682928590 865923346960 1060756100026 1212292685744 1515365857180 2121512200052 2651890250065 3030731714360 4243024400104 5303780500130 6061463428720 8486048800208 10607561000260 21215122000520 42430244001040