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400342214310220 = 225713680332334007
BaseRepresentation
bin101101100000110111110111…
…1011110001111100101001100
31221111111100020020212021222001
41123001233233132033211030
5404433201323330411340
63535242401351202044
7150216525164365510
oct13301575736174514
91844440206767861
10400342214310220
1110661a1a8094a86
1238a99005676324
1314250155100c40
1470c094907c140
153143c468bb29a
hex16c1bef78f94c

400342214310220 has 96 divisors (see below), whose sum is σ = 1034882777392128. Its totient is φ = 126683083475712.

The previous prime is 400342214310211. The next prime is 400342214310221. The reversal of 400342214310220 is 22013412243004.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (400342214310221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3785544 + ... + 28548463.

It is an arithmetic number, because the mean of its divisors is an integer number (10780028931168).

Almost surely, 2400342214310220 is an apocalyptic number.

It is an amenable number.

400342214310220 is an abundant number, since it is smaller than the sum of its proper divisors (634540563081908).

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

400342214310220 is a wasteful number, since it uses less digits than its factorization.

400342214310220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32340839 (or 32340837 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 400342214310220 its reverse (22013412243004), we get a palindrome (422355626553224).

The spelling of 400342214310220 in words is "four hundred trillion, three hundred forty-two billion, two hundred fourteen million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 6803 13606 27212 34015 47621 68030 88439 95242 136060 176878 190484 238105 353756 442195 476210 619073 884390 952420 1238146 1768780 2476292 3095365 6190730 12381460 32334007 64668014 129336028 161670035 226338049 323340070 420342091 452676098 646680140 840684182 905352196 1131690245 1681368364 2101710455 2263380490 2942394637 4203420910 4526760980 5884789274 8406841820 11769578548 14711973185 29423946370 58847892740 219968249621 439936499242 879872998484 1099841248105 1539777747347 2199682496210 2859587245073 3079555494694 4399364992420 5719174490146 6159110989388 7698888736735 11438348980292 14297936225365 15397777473470 20017110715511 28595872450730 30795554946940 40034221431022 57191744901460 80068442862044 100085553577555 200171107155110 400342214310220