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1003225414044 = 2237337193118353
BaseRepresentation
bin11101001100101001110…
…01001111100110011100
310112220111111121102202110
432212110321033212130
5112414101201222134
62044513030154020
7132323601214350
oct16462471174634
93486444542673
101003225414044
11357513657237
121425221b2910
13737b0594b69
14367b0969460
151b1699d47e9
hexe994e4f99c

1003225414044 has 96 divisors (see below), whose sum is σ = 2684742068736. Its totient is φ = 285621719040.

The previous prime is 1003225414031. The next prime is 1003225414091. The reversal of 1003225414044 is 4404145223001.

It is a super-2 number, since 2×10032254140442 (a number of 25 digits) contains 22 as substring.

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, 54653572 + ... + 54671924.

It is an arithmetic number, because the mean of its divisors is an integer number (27966063216).

Almost surely, 21003225414044 is an apocalyptic number.

1003225414044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1003225414044 is an abundant number, since it is smaller than the sum of its proper divisors (1681516654692).

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

1003225414044 is a wasteful number, since it uses less digits than its factorization.

1003225414044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20635 (or 20633 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 1003225414044 in words is "one trillion, three billion, two hundred twenty-five million, four hundred fourteen thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 337 674 1011 1348 1931 2022 2359 3862 4044 4718 5793 7077 7724 9436 11586 13517 14154 18353 23172 27034 28308 36706 40551 54068 55059 73412 81102 110118 128471 162204 220236 256942 385413 513884 650747 770826 1301494 1541652 1952241 2602988 3904482 4555229 6184961 7808964 9110458 12369922 13665687 18220916 18554883 24739844 27331374 35439643 37109766 43294727 54662748 70879286 74219532 86589454 106318929 129884181 141758572 173178908 212637858 248077501 259768362 425275716 496155002 519536724 744232503 992310004 1488465006 2976930012 11943159691 23886319382 35829479073 47772638764 71658958146 83602117837 143317916292 167204235674 250806353511 334408471348 501612707022 1003225414044