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214153215111544 = 231929475563185813
BaseRepresentation
bin110000101100010101101110…
…010100000111000101111000
31001002020211212202211010002211
4300230111232110013011320
5211032141241032032134
62035244343500104504
763052026210645442
oct6054255624070570
91032224782733084
10214153215111544
1162265960a70a65
12200283b2535134
13926573b8c2137
143ac50dc843492
1519b593ae52764
hexc2c56e507178

214153215111544 has 128 divisors (see below), whose sum is σ = 446631449472000. Its totient is φ = 95841389597184.

The previous prime is 214153215111533. The next prime is 214153215111557. The reversal of 214153215111544 is 445111512351412.

It is a super-2 number, since 2×2141532151115442 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214153215111497 and 214153215111506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1152427182 + ... + 1152612994.

It is an arithmetic number, because the mean of its divisors is an integer number (3489308199000).

Almost surely, 2214153215111544 is an apocalyptic number.

It is an amenable number.

214153215111544 is an abundant number, since it is smaller than the sum of its proper divisors (232478234360456).

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

214153215111544 is a wasteful number, since it uses less digits than its factorization.

214153215111544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191477 (or 191473 counting only the distinct ones).

The product of its digits is 96000, while the sum is 40.

Adding to 214153215111544 its reverse (445111512351412), we get a palindrome (659264727462956).

The spelling of 214153215111544 in words is "two hundred fourteen trillion, one hundred fifty-three billion, two hundred fifteen million, one hundred eleven thousand, five hundred forty-four".

Divisors: 1 2 4 8 19 29 38 47 58 76 94 116 152 188 232 376 551 893 1102 1363 1786 2204 2726 3572 4408 5452 5563 7144 10904 11126 22252 25897 44504 51794 103588 105697 161327 185813 207176 211394 261461 322654 371626 422788 522922 645308 743252 845576 1045844 1290616 1486504 2091688 3065213 3530447 4967759 5388577 6130426 7060894 7582369 8733211 9935518 10777154 12260852 14121788 15164738 17466422 19871036 21554308 24521704 28243576 30329476 34932844 39742072 43108616 60658952 69865688 102382963 144065011 165931009 204765926 253263119 288130022 331862018 409531852 506526238 576260044 663724036 819063704 1013052476 1033677719 1152520088 1327448072 2026104952 2067355438 4134710876 4811999261 8269421752 9623998522 19247997044 19639876661 29976653851 38495994088 39279753322 48582852793 59953307702 78559506644 97165705586 119906615404 157119013288 194331411172 239813230808 388662822344 569556423169 923074203067 1139112846338 1408902730997 1846148406134 2278225692676 2817805461994 3692296812268 4556451385352 5635610923988 7384593624536 11271221847976 26769151888943 53538303777886 107076607555772 214153215111544