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1004142434510 = 2517295337310303
BaseRepresentation
bin11101001110010111000…
…11011001100011001110
310112222212102010220100102
432213023203121203032
5112422440430401020
62045144025131102
7132355404602405
oct16471343314316
93488772126312
101004142434510
11357944254296
12142739329a92
13738c856a717
143685a67663c
151b1c0274475
hexe9cb8d98ce

1004142434510 has 128 divisors (see below), whose sum is σ = 2022727956480. Its totient is φ = 357113143296.

The previous prime is 1004142434507. The next prime is 1004142434521. The reversal of 1004142434510 is 154342414001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97456019 + ... + 97466321.

It is an arithmetic number, because the mean of its divisors is an integer number (15802562160).

Almost surely, 21004142434510 is an apocalyptic number.

1004142434510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1004142434510 is an abundant number, since it is smaller than the sum of its proper divisors (1018585521970).

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

1004142434510 is a wasteful number, since it uses less digits than its factorization.

1004142434510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10782.

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 1004142434510 its reverse (154342414001), we get a palindrome (1158484848511).

The spelling of 1004142434510 in words is "one trillion, four billion, one hundred forty-two million, four hundred thirty-four thousand, five hundred ten".

Divisors: 1 2 5 10 17 29 34 53 58 85 106 145 170 265 290 373 493 530 746 901 986 1537 1802 1865 2465 3074 3730 4505 4930 6341 7685 9010 10303 10817 12682 15370 19769 20606 21634 26129 31705 39538 51515 52258 54085 63410 98845 103030 108170 130645 175151 183889 197690 261290 298787 336073 350302 367778 546059 573301 597574 672146 875755 919445 1092118 1146602 1493935 1680365 1751510 1838890 2730295 2866505 2987870 3360730 3843019 5079379 5460590 5733010 7686038 9283003 9746117 10158758 15835711 18566006 19215095 19492234 25396895 31671422 38430190 46415015 48730585 50793790 65331323 79178555 92830030 97461170 111447551 130662646 158357110 203680007 222895102 269207087 326656615 407360014 538414174 557237755 653313230 1018400035 1114475510 1346035435 1894608367 2036800070 2692070870 3462560119 3789216734 5906720203 6925120238 9473041835 11813440406 17312800595 18946083670 29533601015 34625601190 59067202030 100414243451 200828486902 502071217255 1004142434510