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424100132201312 = 2574577603544903
BaseRepresentation
bin110000001101101111000000…
…1101110101010001101100000
32001121121120120101211012002022
41200123132001232222031200
5421041424032320420222
64101552524443441012
7155221136426435420
oct14033360156521540
92047546511735068
10424100132201312
111131499463a6186
123b695544226168
1315284617646378
1476a27ad63a480
153406c3eac0042
hex181b781baa360

424100132201312 has 96 divisors (see below), whose sum is σ = 956440854093312. Its totient is φ = 181335294895104.

The previous prime is 424100132201269. The next prime is 424100132201321. The reversal of 424100132201312 is 213102231001424.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 778031453 + ... + 778576355.

It is an arithmetic number, because the mean of its divisors is an integer number (9962925563472).

Almost surely, 2424100132201312 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 424100132201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478220427046656).

424100132201312 is an abundant number, since it is smaller than the sum of its proper divisors (532340721892000).

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

424100132201312 is a wasteful number, since it uses less digits than its factorization.

424100132201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552980 (or 552972 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 424100132201312 its reverse (213102231001424), we get a palindrome (637202363202736).

The spelling of 424100132201312 in words is "four hundred twenty-four trillion, one hundred billion, one hundred thirty-two million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 457 914 1828 3199 3656 6398 7312 7603 12796 14624 15206 25592 30412 51184 53221 60824 102368 106442 121648 212884 243296 425768 544903 851536 1089806 1703072 2179612 3474571 3814321 4359224 6949142 7628642 8718448 13898284 15257284 17436896 24321997 27796568 30514568 48643994 55593136 61029136 97287988 111186272 122058272 194575976 249020671 389151952 498041342 778303904 996082684 1743144697 1992165368 3486289394 3984330736 4142897509 6972578788 7968661472 8285795018 13945157576 16571590036 27890315152 29000282563 33143180072 55780630304 58000565126 66286360144 116001130252 132572720288 232002260504 464004521008 928009042016 1893304161613 3786608323226 7573216646452 13253129131291 15146433292904 26506258262582 30292866585808 53012516525164 60585733171616 106025033050328 212050066100656 424100132201312