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10132044023040 = 28353910367477
BaseRepresentation
bin1001001101110000110011…
…1000101000010100000000
31022212121120120100121221020
42103130030320220110000
52312000411232214130
633314332522425440
72064005332125432
oct223341470502400
938777516317836
1010132044023040
113256a80788995
1211777a9062280
135865a864c134
14270571c72652
15128857462e10
hex9370ce28500

10132044023040 has 144 divisors (see below), whose sum is σ = 32360522707968. Its totient is φ = 2701769269248.

The previous prime is 10132044023033. The next prime is 10132044023077. The reversal of 10132044023040 is 4032044023101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10132044023040.

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, 150121782 + ... + 150189258.

Almost surely, 210132044023040 is an apocalyptic number.

10132044023040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132044023040 is an abundant number, since it is smaller than the sum of its proper divisors (22228478684928).

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

10132044023040 is an equidigital number, since it uses as much as digits as its factorization.

10132044023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106604 (or 106590 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10132044023040 its reverse (4032044023101), we get a palindrome (14164088046141).

The spelling of 10132044023040 in words is "ten trillion, one hundred thirty-two billion, forty-four million, twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 39103 67477 78206 117309 134954 156412 195515 202431 234618 269908 312824 337385 391030 404862 469236 539816 586545 625648 674770 782060 809724 938472 1012155 1079632 1173090 1251296 1349540 1564120 1619448 1876944 2024310 2159264 2346180 2502592 2699080 3128240 3238896 3753888 4048620 4318528 4692360 5005184 5398160 6256480 6477792 7507776 8097240 8637056 9384720 10010368 10796320 12512960 12955584 15015552 16194480 17274112 18769440 21592640 25025920 25911168 30031104 32388960 37538880 43185280 50051840 51822336 64777920 75077760 86370560 129555840 150155520 259111680 2638553131 5277106262 7915659393 10554212524 13192765655 15831318786 21108425048 26385531310 31662637572 39578296965 42216850096 52771062620 63325275144 79156593930 84433700192 105542125240 126650550288 158313187860 168867400384 211084250480 253301100576 316626375720 337734800768 422168500960 506602201152 633252751440 675469601536 844337001920 1013204402304 1266505502880 1688674003840 2026408804608 2533011005760 3377348007680 5066022011520 10132044023040