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100042034240904 = 233723101256344511
BaseRepresentation
bin10110101111110011011001…
…111010011101110110001000
3111010012220222101011012200220
4112233303121322131312020
5101103042041231202104
6552434402010230040
730033540604245450
oct2657633172356610
9433186871135626
10100042034240904
1129970652269548
12b278996a25320
1343a8c007a0c42
141a9c0bb62cd60
15b874c9b7e7d9
hex5afcd9e9dd88

100042034240904 has 128 divisors (see below), whose sum is σ = 301215055380480. Its totient is φ = 27069980256000.

The previous prime is 100042034240873. The next prime is 100042034240909. The reversal of 100042034240904 is 409042430240001.

100042034240904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (100042034240909) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127781992 + ... + 128562519.

It is an arithmetic number, because the mean of its divisors is an integer number (2353242620160).

Almost surely, 2100042034240904 is an apocalyptic number.

100042034240904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100042034240904 is an abundant number, since it is smaller than the sum of its proper divisors (201173021139576).

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

100042034240904 is a wasteful number, since it uses less digits than its factorization.

100042034240904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256344651 (or 256344647 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 100042034240904 its reverse (409042430240001), we get a palindrome (509084464480905).

The spelling of 100042034240904 in words is "one hundred trillion, forty-two billion, thirty-four million, two hundred forty thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 101 138 161 168 184 202 276 303 322 404 483 552 606 644 707 808 966 1212 1288 1414 1932 2121 2323 2424 2828 3864 4242 4646 5656 6969 8484 9292 13938 16261 16968 18584 27876 32522 48783 55752 65044 97566 130088 195132 390264 256344511 512689022 769033533 1025378044 1538067066 1794411577 2050756088 3076134132 3588823154 5383234731 5895923753 6152268264 7177646308 10766469462 11791847506 14355292616 17687771259 21532938924 23583695012 25890795611 35375542518 41271466271 43065877848 47167390024 51781591222 70751085036 77672386833 82542932542 103563182444 123814398813 141502170072 155344773666 165085865084 181235569277 207126364888 247628797626 310689547332 330171730168 362471138554 495257595252 543706707831 595488299053 621379094664 724942277108 990515190504 1087413415662 1190976598106 1449884554216 1786464897159 2174826831324 2381953196212 3572929794318 4168418093371 4349653662648 4763906392424 7145859588636 8336836186742 12505254280113 14291719177272 16673672373484 25010508560226 33347344746968 50021017120452 100042034240904