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30642040113510 = 23571972692753467
BaseRepresentation
bin1101111011110011001111…
…11010101000100101100110
311000111100110110102212002110
412331321213322220211212
513004014344232113020
6145100431531021450
76311546214326640
oct675714772504546
9130440413385073
1030642040113510
119844241898111
12352a77129a886
1314136bb9cc767
1477d122b39890
1538210a7b68e0
hex1bde67ea8966

30642040113510 has 128 divisors (see below), whose sum is σ = 84787429985280. Its totient is φ = 6942434978304.

The previous prime is 30642040113397. The next prime is 30642040113541. The reversal of 30642040113510 is 1531104024603.

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

It is a Curzon number.

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, 9751797 + ... + 12505263.

It is an arithmetic number, because the mean of its divisors is an integer number (662401796760).

Almost surely, 230642040113510 is an apocalyptic number.

30642040113510 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30642040113510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42393714992640).

30642040113510 is an abundant number, since it is smaller than the sum of its proper divisors (54145389871770).

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

30642040113510 is a wasteful number, since it uses less digits than its factorization.

30642040113510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753950.

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 30642040113510 in words is "thirty trillion, six hundred forty-two billion, forty million, one hundred thirteen thousand, five hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 197 210 269 394 538 591 807 985 1182 1345 1379 1614 1883 1970 2690 2758 2955 3766 4035 4137 5649 5910 6895 8070 8274 9415 11298 13790 18830 20685 28245 41370 52993 56490 105986 158979 264965 317958 370951 529930 741902 794895 1112853 1589790 1854755 2225706 2753467 3709510 5506934 5564265 8260401 11128530 13767335 16520802 19274269 27534670 38548538 41302005 57822807 82604010 96371345 115645614 192742690 289114035 542432999 578228070 740682623 1084865998 1481365246 1627298997 2222047869 2712164995 3254597994 3703413115 3797030993 4444095738 5184778361 5424329990 7406826230 7594061986 8136494985 10369556722 11110239345 11391092979 15554335083 16272989970 18985154965 22220478690 22782185958 25923891805 31108670166 37970309930 51847783610 56955464895 77771675415 113910929790 145914476731 155543350830 291828953462 437743430193 729572383655 875486860386 1021401337117 1459144767310 2042802674234 2188717150965 3064204011351 4377434301930 5107006685585 6128408022702 10214013371170 15321020056755 30642040113510