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100143300340044 = 2232131793833121219
BaseRepresentation
bin10110110001010001101101…
…110101111110100101001100
3111010120121100210012001110100
4112301101231311332211030
5101111221434341340134
6552553110322211100
730044054224011213
oct2661215565764514
9433517323161410
10100143300340044
11299aa598347675
12b2945387b3a90
1343b561b6a8c70
141aa2d668a807a
15b89e5510e999
hex5b146dd7e94c

100143300340044 has 144 divisors (see below), whose sum is σ = 274851137433600. Its totient is φ = 30561168834432.

The previous prime is 100143300340009. The next prime is 100143300340063. The reversal of 100143300340044 is 440043003341001.

100143300340044 is a `hidden beast` number, since 1 + 0 + 0 + 14 + 3 + 300 + 340 + 0 + 4 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30524067 + ... + 33645285.

It is an arithmetic number, because the mean of its divisors is an integer number (1908688454400).

Almost surely, 2100143300340044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100143300340044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137425568716800).

100143300340044 is an abundant number, since it is smaller than the sum of its proper divisors (174707837093556).

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

100143300340044 is a wasteful number, since it uses less digits than its factorization.

100143300340044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3121804 (or 3121799 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 100143300340044 its reverse (440043003341001), we get a palindrome (540186303681045).

The spelling of 100143300340044 in words is "one hundred trillion, one hundred forty-three billion, three hundred million, three hundred forty thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 179 234 358 383 468 537 716 766 1074 1149 1532 1611 2148 2298 2327 3222 3447 4596 4654 4979 6444 6894 6981 9308 9958 13788 13962 14937 19916 20943 27924 29874 41886 44811 59748 68557 83772 89622 137114 179244 205671 274228 411342 617013 822684 891241 1234026 1782482 2468052 2673723 3121219 3564964 5347446 6242438 8021169 9363657 10694892 12484876 16042338 18727314 28090971 32084676 37454628 40575847 56181942 81151694 112363884 121727541 162303388 243455082 365182623 486910164 558698201 730365246 1117396402 1195426877 1460730492 1676094603 2234792804 2390853754 3352189206 3586280631 4781707508 5028283809 6704378412 7172561262 7263076613 10056567618 10758841893 14345122524 14526153226 15540549401 20113135236 21517683786 21789229839 29052306452 31081098802 43035367572 43578459678 46621648203 62162197604 65367689517 87156919356 93243296406 130735379034 139864944609 186486592812 213981410983 261470758068 279729889218 427962821966 559459778436 641944232949 855925643932 1283888465898 1925832698847 2567776931796 2781758342779 3851665397694 5563516685558 7703330795388 8345275028337 11127033371116 16690550056674 25035825085011 33381100113348 50071650170022 100143300340044