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1013344322032 = 24732343186701
BaseRepresentation
bin11101011111100000000…
…01110100000111110000
310120212121201010012222101
432233300001310013300
5113100312121301112
62053305101350144
7133132421422000
oct16576001640760
93525551105871
101013344322032
113608364a7609
12144486b68354
1374733ab6193
1437090802000
151b55d02e757
hexebf00741f0

1013344322032 has 160 divisors (see below), whose sum is σ = 2444750668800. Its totient is φ = 405745401600.

The previous prime is 1013344322021. The next prime is 1013344322033. The reversal of 1013344322032 is 2302234433101.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013344322033) 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 31 ways as a sum of consecutive naturals, for example, 5334282 + ... + 5520982.

It is an arithmetic number, because the mean of its divisors is an integer number (15279691680).

Almost surely, 21013344322032 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 1013344322032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222375334400).

1013344322032 is an abundant number, since it is smaller than the sum of its proper divisors (1431406346768).

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

1013344322032 is a wasteful number, since it uses less digits than its factorization.

1013344322032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186796 (or 186776 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 1013344322032 its reverse (2302234433101), we get a palindrome (3315578755133).

The spelling of 1013344322032 in words is "one trillion, thirteen billion, three hundred forty-four million, three hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 43 46 49 56 86 92 98 112 161 172 184 196 301 322 343 344 368 392 602 644 686 688 784 989 1127 1204 1288 1372 1978 2107 2254 2408 2576 2744 3956 4214 4508 4816 5488 6923 7889 7912 8428 9016 13846 14749 15778 15824 16856 18032 27692 29498 31556 33712 48461 55384 58996 63112 96922 110768 117992 126224 186701 193844 235984 339227 373402 387688 678454 746804 775376 1306907 1356908 1493608 2613814 2713816 2987216 4294123 5227628 5427632 8028143 8588246 9148349 10455256 16056286 17176492 18296698 20910512 30058861 32112572 34352984 36593396 56197001 60117722 64038443 64225144 68705968 73186792 112394002 120235444 128076886 128450288 146373584 184647289 210412027 224788004 240470888 256153772 369294578 393379007 420824054 449576008 480941776 512307544 738589156 786758014 841648108 899152016 1024615088 1292531023 1472884189 1477178312 1573516028 1683296216 2585062046 2753653049 2945768378 2954356624 3147032056 3366592432 5170124092 5507306098 5891536756 6294064112 9047717161 10340248184 11014612196 11783073512 18095434322 20680496368 22029224392 23566147024 36190868644 44058448784 63334020127 72381737288 126668040254 144763474576 253336080508 506672161016 1013344322032