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100463156040 = 233513292220671
BaseRepresentation
bin101110110010000010…
…0100001101101001000
3100121022110011002220010
41131210010201231020
53121222031443130
6114052510031520
710154366510442
oct1354404415510
9317273132803
10100463156040
1139673918095
1217578aa85a0
139620764680
144c10785492
15292ec260b0
hex1764121b48

100463156040 has 128 divisors (see below), whose sum is σ = 335765606400. Its totient is φ = 23876643840.

The previous prime is 100463156033. The next prime is 100463156047. The reversal of 100463156040 is 40651364001.

It is an interprime number because it is at equal distance from previous prime (100463156033) and next prime (100463156047).

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 = 100463155989 and 100463156007.

It is not an unprimeable number, because it can be changed into a prime (100463156047) 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, 1065096 + ... + 1155575.

It is an arithmetic number, because the mean of its divisors is an integer number (2623168800).

Almost surely, 2100463156040 is an apocalyptic number.

100463156040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100463156040 is an abundant number, since it is smaller than the sum of its proper divisors (235302450360).

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

100463156040 is a wasteful number, since it uses less digits than its factorization.

100463156040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220727 (or 2220723 counting only the distinct ones).

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

The spelling of 100463156040 in words is "one hundred billion, four hundred sixty-three million, one hundred fifty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 29 30 39 40 52 58 60 65 78 87 104 116 120 130 145 156 174 195 232 260 290 312 348 377 390 435 520 580 696 754 780 870 1131 1160 1508 1560 1740 1885 2262 3016 3480 3770 4524 5655 7540 9048 11310 15080 22620 45240 2220671 4441342 6662013 8882684 11103355 13324026 17765368 22206710 26648052 28868723 33310065 44413420 53296104 57737446 64399459 66620130 86606169 88826840 115474892 128798918 133240260 144343615 173212338 193198377 230949784 257597836 266480520 288687230 321997295 346424676 386396754 433030845 515195672 577374460 643994590 692849352 772793508 837192967 866061690 965991885 1154748920 1287989180 1545587016 1674385934 1732123380 1931983770 2511578901 2575978360 3348771868 3464246760 3863967540 4185964835 5023157802 6697543736 7727935080 8371929670 10046315604 12557894505 16743859340 20092631208 25115789010 33487718680 50231578020 100463156040