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1004253550040 = 2351329647102929
BaseRepresentation
bin11101001110100100010…
…11010001010111011000
310120000011011020011012102
432213102023101113120
5112423202402100130
62045203034502532
7132361224221366
oct16472213212730
93500134204172
101004253550040
113579a0a48004
1214276a594a48
13739155a3760
143686b31c636
151b1c9dc2645
hexe9d22d15d8

1004253550040 has 128 divisors (see below), whose sum is σ = 2521208592000. Its totient is φ = 357458239488.

The previous prime is 1004253550037. The next prime is 1004253550073. The reversal of 1004253550040 is 400553524001.

1004253550040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 1004253549985 and 1004253550012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9705296 + ... + 9808224.

It is an arithmetic number, because the mean of its divisors is an integer number (19696942125).

Almost surely, 21004253550040 is an apocalyptic number.

1004253550040 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 1004253550040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260604296000).

1004253550040 is an abundant number, since it is smaller than the sum of its proper divisors (1516955041960).

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

1004253550040 is a wasteful number, since it uses less digits than its factorization.

1004253550040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103629 (or 103625 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The spelling of 1004253550040 in words is "one trillion, four billion, two hundred fifty-three million, five hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 290 377 520 580 647 754 1160 1294 1508 1885 2588 3016 3235 3770 5176 6470 7540 8411 12940 15080 16822 18763 25880 33644 37526 42055 67288 75052 84110 93815 102929 150104 168220 187630 205858 243919 336440 375260 411716 487838 514645 750520 823432 975676 1029290 1219595 1338077 1951352 2058580 2439190 2676154 2984941 4117160 4878380 5352308 5969882 6690385 9756760 10704616 11939764 13380770 14924705 23879528 26761540 29849410 38804233 53523080 59698820 66595063 77608466 119397640 133190126 155216932 194021165 266380252 310433864 332975315 388042330 532760504 665950630 776084660 865735819 1331901260 1552169320 1731471638 1931256827 2663802520 3462943276 3862513654 4328679095 6925886552 7725027308 8657358190 9656284135 15450054616 17314716380 19312568270 25106338751 34629432760 38625136540 50212677502 77250273080 100425355004 125531693755 200850710008 251063387510 502126775020 1004253550040