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1003400244240 = 243537532131991
BaseRepresentation
bin11101001100111110101…
…00001010110000010000
310112220221200120201200220
432212133110022300100
5112414430430303430
62044542233313040
7132331123231362
oct16463724126020
93486850521626
101003400244240
113575a33087a9
12142570865780
137380a878894
14367c9c78d32
151b17a01b110
hexe99f50ac10

1003400244240 has 160 divisors (see below), whose sum is σ = 3254886602496. Its totient is φ = 255429457920.

The previous prime is 1003400244193. The next prime is 1003400244263. The reversal of 1003400244240 is 424420043001.

It is a happy number.

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 1003400244240.

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, 595356 + ... + 1536635.

Almost surely, 21003400244240 is an apocalyptic number.

1003400244240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003400244240 is an abundant number, since it is smaller than the sum of its proper divisors (2251486358256).

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

1003400244240 is a wasteful number, since it uses less digits than its factorization.

1003400244240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132097 (or 2132091 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 1003400244240 its reverse (424420043001), we get a palindrome (1427820287241).

The spelling of 1003400244240 in words is "one trillion, three billion, four hundred million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 53 60 74 80 106 111 120 148 159 185 212 222 240 265 296 318 370 424 444 530 555 592 636 740 795 848 888 1060 1110 1272 1480 1590 1776 1961 2120 2220 2544 2960 3180 3922 4240 4440 5883 6360 7844 8880 9805 11766 12720 15688 19610 23532 29415 31376 39220 47064 58830 78440 94128 117660 156880 235320 470640 2131991 4263982 6395973 8527964 10659955 12791946 17055928 21319910 25583892 31979865 34111856 42639820 51167784 63959730 78883667 85279640 102335568 112995523 127919460 157767334 170559280 225991046 236651001 255838920 315534668 338986569 394418335 451982092 473302002 511677840 564977615 631069336 677973138 788836670 903964184 946604004 1129955230 1183255005 1262138672 1355946276 1577673340 1694932845 1807928368 1893208008 2259910460 2366510010 2711892552 3155346680 3389865690 3786416016 4180834351 4519820920 4733020020 5423785104 6310693360 6779731380 8361668702 9039641840 9466040040 12542503053 13559462760 16723337404 18932080080 20904171755 25085006106 27118925520 33446674808 41808343510 50170012212 62712515265 66893349616 83616687020 100340024424 125425030530 167233374040 200680048848 250850061060 334466748080 501700122120 1003400244240