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420214151041132 = 227214120639339631
BaseRepresentation
bin101111110001011101011101…
…1001100111101000001101100
32001002212002011200200200100111
41133202322323030331001230
5420034242040131304012
64045415414353105404
7154340320252534030
oct13742727314750154
92032762150620314
10420214151041132
11111990903336548
123b168398b58264
1315062041834576
1475aa68b13a1c0
15338ab03954ba7
hex17e2ebb33d06c

420214151041132 has 48 divisors (see below), whose sum is σ = 840864057384960. Its totient is φ = 179998411579200.

The previous prime is 420214151041117. The next prime is 420214151041133. The reversal of 420214151041132 is 231140151412024.

It is a junction number, because it is equal to n+sod(n) for n = 420214151041094 and 420214151041103.

It is not an unprimeable number, because it can be changed into a prime (420214151041133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1237096957 + ... + 1237436587.

It is an arithmetic number, because the mean of its divisors is an integer number (17518001195520).

Almost surely, 2420214151041132 is an apocalyptic number.

It is an amenable number.

420214151041132 is an abundant number, since it is smaller than the sum of its proper divisors (420649906343828).

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

420214151041132 is a wasteful number, since it uses less digits than its factorization.

420214151041132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362422 (or 362420 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 420214151041132 in words is "four hundred twenty trillion, two hundred fourteen billion, one hundred fifty-one million, forty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 2141 4282 8564 14987 20639 29974 41278 59948 82556 144473 288946 339631 577892 679262 1358524 2377417 4754834 9509668 44188099 88376198 176752396 309316693 618633386 727149971 1237266772 1454299942 2908599884 5090049797 7009644209 10180099594 14019288418 20360199188 28038576836 49067509463 98135018926 196270037852 15007648251469 30015296502938 60030593005876 105053537760283 210107075520566 420214151041132