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4332142544440 = 2351011678097937
BaseRepresentation
bin111111000010100111110…
…100010100011000111000
3120100011000110111011111011
4333002213310110120320
51031434211442410230
613114054145243304
7624662350024534
oct77024764243070
916304013434434
104332142544440
111420284589287
1259b721933534
13255699b54cb9
1410d96928cbc4
1577a50410e2a
hex3f0a7d14638

4332142544440 has 128 divisors (see below), whose sum is σ = 9916263907200. Its totient is φ = 1703103692800.

The previous prime is 4332142544437. The next prime is 4332142544461. The reversal of 4332142544440 is 444452412334.

4332142544440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4332142544393 and 4332142544402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 545812152 + ... + 545820088.

It is an arithmetic number, because the mean of its divisors is an integer number (77470811775).

Almost surely, 24332142544440 is an apocalyptic number.

4332142544440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4332142544440 is an abundant number, since it is smaller than the sum of its proper divisors (5584121362760).

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

4332142544440 is a wasteful number, since it uses less digits than its factorization.

4332142544440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9025 (or 9021 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 40.

Adding to 4332142544440 its reverse (444452412334), we get a palindrome (4776594956774).

The spelling of 4332142544440 in words is "four trillion, three hundred thirty-two billion, one hundred forty-two million, five hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 101 167 202 334 404 505 668 808 809 835 1010 1336 1618 1670 2020 3236 3340 4040 4045 6472 6680 7937 8090 15874 16180 16867 31748 32360 33734 39685 63496 67468 79370 81709 84335 134936 135103 158740 163418 168670 270206 317480 326836 337340 408545 540412 653672 674680 675515 801637 817090 1080824 1325479 1351030 1603274 1634180 2650958 2702060 3206548 3268360 4008185 5301916 5404120 6413096 6421033 6627395 8016370 10603832 12842066 13254790 13645403 16032740 25684132 26509580 27290806 32065480 32105165 51368264 53019160 54581612 64210330 68227015 109163224 128420660 133873379 136454030 256841320 267746758 272908060 535493516 545816120 648524333 669366895 1070987032 1072312511 1297048666 1338733790 2144625022 2594097332 2677467580 3242621665 4289250044 5188194664 5354935160 5361562555 6485243330 8578500088 10723125110 12970486660 21446250220 25940973320 42892500440 108303563611 216607127222 433214254444 541517818055 866428508888 1083035636110 2166071272220 4332142544440