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4200013201410 = 23251319188934467
BaseRepresentation
bin111101000111100100010…
…010111000000000000010
3112212111222010211002100200
4331013210102320000002
51022303111334421120
612533243123030030
7612304146112155
oct75074422700002
915774863732320
104200013201410
11137a240a5a224
12579ba7b0b316
132460a0a8a6a0
141073d3099c9c
15743ba68ae90
hex3d1e44b8002

4200013201410 has 96 divisors (see below), whose sum is σ = 12378986343360. Its totient is φ = 979436271744.

The previous prime is 4200013201403. The next prime is 4200013201427. The reversal of 4200013201410 is 141023100024.

4200013201410 is a `hidden beast` number, since 4 + 200 + 0 + 1 + 320 + 141 + 0 = 666.

It is a super-2 number, since 2×42000132014102 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 94445004 + ... + 94489463.

It is an arithmetic number, because the mean of its divisors is an integer number (128947774410).

Almost surely, 24200013201410 is an apocalyptic number.

4200013201410 is an abundant number, since it is smaller than the sum of its proper divisors (8178973141950).

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

4200013201410 is a wasteful number, since it uses less digits than its factorization.

4200013201410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188934512 (or 188934509 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 4200013201410 its reverse (141023100024), we get a palindrome (4341036301434).

The spelling of 4200013201410 in words is "four trillion, two hundred billion, thirteen million, two hundred one thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 114 117 130 171 190 195 234 247 285 342 390 494 570 585 741 855 1170 1235 1482 1710 2223 2470 3705 4446 7410 11115 22230 188934467 377868934 566803401 944672335 1133606802 1700410203 1889344670 2456148071 2834017005 3400820406 3589754873 4912296142 5668034010 7179509746 7368444213 8502051015 10769264619 12280740355 14736888426 17004102030 17948774365 21538529238 22105332639 24561480710 32307793857 35897548730 36842221065 44210665278 46666813349 53846323095 64615587714 73684442130 93333626698 107692646190 110526663195 140000440047 161538969285 221053326390 233334066745 280000880094 323077938570 420001320141 466668133490 700002200235 840002640282 1400004400470 2100006600705 4200013201410