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1025142504240 = 243531137787971
BaseRepresentation
bin11101110101011110100…
…00010011101100110000
310122000001221110222100210
432322233100103230300
5113243442440113430
62102535521344120
7134030662340451
oct16725720235460
93560057428323
101025142504240
11365840244518
1214681a198040
13758941a819a
143788d6c7128
151b9edbd72b0
hexeeaf413b30

1025142504240 has 80 divisors (see below), whose sum is σ = 3280456037376. Its totient is φ = 264552902400.

The previous prime is 1025142504223. The next prime is 1025142504251. The reversal of 1025142504240 is 424052415201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1025142504198 and 1025142504207.

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, 68886546 + ... + 68901425.

Almost surely, 21025142504240 is an apocalyptic number.

1025142504240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1025142504240 is an abundant number, since it is smaller than the sum of its proper divisors (2255313533136).

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

1025142504240 is a wasteful number, since it uses less digits than its factorization.

1025142504240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137788018 (or 137788012 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 1025142504240 its reverse (424052415201), we get a palindrome (1449194919441).

The spelling of 1025142504240 in words is "one trillion, twenty-five billion, one hundred forty-two million, five hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 137787971 275575942 413363913 551151884 688939855 826727826 1102303768 1377879710 1653455652 2066819565 2204607536 2755759420 3306911304 4133639130 4271427101 5511518840 6613822608 8267278260 8542854202 11023037680 12814281303 16534556520 17085708404 21357135505 25628562606 33069113040 34171416808 42714271010 51257125212 64071406515 68342833616 85428542020 102514250424 128142813030 170857084040 205028500848 256285626060 341714168080 512571252120 1025142504240