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1400311344640 = 29513182323081
BaseRepresentation
bin10100011000001001000…
…011110110111000000000
311221212110002211202000211
4110120021003312320000
5140420314201012030
62551143311523504
7203112010016245
oct24301103667000
94855402752024
101400311344640
1149a96128010a
121a7481529594
13a2083277580
144babdad35cc
152665a66012a
hex146090f6e00

1400311344640 has 160 divisors (see below), whose sum is σ = 3617871941376. Its totient is φ = 516732026880.

The previous prime is 1400311344517. The next prime is 1400311344647. The reversal of 1400311344640 is 464431130041.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400311344647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60657900 + ... + 60680980.

Almost surely, 21400311344640 is an apocalyptic number.

1400311344640 is a gapful number since it is divisible by the number (10) 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 1400311344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808935970688).

1400311344640 is an abundant number, since it is smaller than the sum of its proper divisors (2217560596736).

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

1400311344640 is a wasteful number, since it uses less digits than its factorization.

1400311344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24940 (or 24924 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 1400311344640 its reverse (464431130041), we get a palindrome (1864742474681).

The spelling of 1400311344640 in words is "one trillion, four hundred billion, three hundred eleven million, three hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1040 1280 1664 1823 2080 2560 3328 3646 4160 6656 7292 8320 9115 14584 16640 18230 23081 23699 29168 33280 36460 46162 47398 58336 72920 92324 94796 115405 116672 118495 145840 184648 189592 230810 233344 236990 291680 300053 369296 379184 461620 466688 473980 583360 600106 738592 758368 923240 933376 947960 1166720 1200212 1477184 1500265 1516736 1846480 1895920 2333440 2400424 2954368 3000530 3033472 3692960 3791840 4666880 4800848 5908736 6001060 6066944 7385920 7583680 9601696 11817472 12002120 12133888 14771840 15167360 19203392 24004240 29543680 30334720 38406784 42076663 48008480 59087360 60669440 76813568 84153326 96016960 153627136 168306652 192033920 210383315 336613304 384067840 420766630 546996619 673226608 768135680 841533260 1093993238 1346453216 1683066520 2187986476 2692906432 2734983095 3366133040 4375972952 5385812864 5469966190 6732266080 8751945904 10771625728 10939932380 13464532160 17503891808 21543251456 21879864760 26929064320 35007783616 43759729520 53858128640 70015567232 87519459040 107716257280 140031134464 175038918080 280062268928 350077836160 700155672320 1400311344640