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434412214040332 = 221171385933603151
BaseRepresentation
bin110001011000110000111100…
…1101101000011011100001100
32002222010101212010002111001001
41202301201321231003130030
5423414402203243242312
64135530114401430044
7160334150430015013
oct14261417155033414
92088111763074031
10434412214040332
111164652047a4a20
124087bbb763b324
1315851b856ba458
14793b94030da7a
1535350d2c0b057
hex18b1879b4370c

434412214040332 has 48 divisors (see below), whose sum is σ = 841035172045824. Its totient is φ = 194673870720000.

The previous prime is 434412214040323. The next prime is 434412214040341. The reversal of 434412214040332 is 233040412214434.

It is an interprime number because it is at equal distance from previous prime (434412214040323) and next prime (434412214040341).

It is a junction number, because it is equal to n+sod(n) for n = 434412214040291 and 434412214040300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118762957 + ... + 122366107.

It is an arithmetic number, because the mean of its divisors is an integer number (17521566084288).

Almost surely, 2434412214040332 is an apocalyptic number.

It is an amenable number.

434412214040332 is a deficient number, since it is larger than the sum of its proper divisors (406622958005492).

434412214040332 is a wasteful number, since it uses less digits than its factorization.

434412214040332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3641830 (or 3641828 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 434412214040332 its reverse (233040412214434), we get a palindrome (667452626254766).

The spelling of 434412214040332 in words is "four hundred thirty-four trillion, four hundred twelve billion, two hundred fourteen million, forty thousand, three hundred thirty-two".

Divisors: 1 2 4 11 22 44 71 142 284 781 1562 3124 38593 77186 154372 424523 849046 1698092 2740103 3603151 5480206 7206302 10960412 14412604 30141133 39634661 60282266 79269322 120564532 158538644 255823721 511647442 1023294884 2814060931 5628121862 11256243724 139056406543 278112813086 556225626172 1529620471973 3059240943946 6118481887892 9873004864553 19746009729106 39492019458212 108603053510083 217206107020166 434412214040332