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442214143043440 = 2453161247920493
BaseRepresentation
bin110010010001100010000000…
…0111010010010011101110000
32010222202020222221221201012111
41210203010000322102131300
5430430214031104342230
64204302212304535104
7162100626464234065
oct14443040072223560
92128666887851174
10442214143043440
111189a2a682815a9
1241720091921494
1315c997cb80c2b1
147b2b3c8b64c6c
15361d010c3892a
hex1923100e92770

442214143043440 has 120 divisors (see below), whose sum is σ = 1078997777829504. Its totient is φ = 168373440691200.

The previous prime is 442214143043401. The next prime is 442214143043447. The reversal of 442214143043440 is 44340341412244.

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 = 442214143043393 and 442214143043402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442214143043447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14732167 + ... + 33188326.

Almost surely, 2442214143043440 is an apocalyptic number.

442214143043440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442214143043440 is an abundant number, since it is smaller than the sum of its proper divisors (636783634786064).

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

442214143043440 is a wasteful number, since it uses less digits than its factorization.

442214143043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47920659 (or 47920592 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

Adding to 442214143043440 its reverse (44340341412244), we get a palindrome (486554484455684).

The spelling of 442214143043440 in words is "four hundred forty-two trillion, two hundred fourteen billion, one hundred forty-three million, forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 61 62 80 122 124 155 244 248 305 310 488 496 610 620 976 1220 1240 1891 2440 2480 3721 3782 4880 7442 7564 9455 14884 15128 18605 18910 29768 30256 37210 37820 59536 74420 75640 115351 148840 151280 230702 297680 461404 576755 922808 1153510 1845616 2307020 4614040 9228080 47920493 95840986 191681972 239602465 383363944 479204930 766727888 958409860 1485535283 1916819720 2923150073 2971070566 3833639440 5846300146 5942141132 7427676415 11692600292 11884282264 14615750365 14855352830 23385200584 23768564528 29231500730 29710705660 46770401168 58463001460 59421411320 90617652263 116926002920 118842822640 178312154453 181235304526 233852005840 356624308906 362470609052 453088261315 713248617812 724941218104 891560772265 906176522630 1426497235624 1449882436208 1783121544530 1812353045260 2852994471248 3566243089060 3624706090520 5527676788043 7132486178120 7249412181040 11055353576086 14264972356240 22110707152172 27638383940215 44221414304344 55276767880430 88442828608688 110553535760860 221107071521720 442214143043440