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14402022376 = 237237247571
BaseRepresentation
bin11010110100110110…
…10110101111101000
31101011200221112121011
431122123112233220
5213443404204001
610341033153304
71016616112300
oct153233265750
941150845534
1014402022376
116120625635
12295b25b834
1314869aab41
149a8a46600
15594595d51
hex35a6d6be8

14402022376 has 144 divisors (see below), whose sum is σ = 33029156160. Its totient is φ = 5867406720.

The previous prime is 14402022373. The next prime is 14402022409. The reversal of 14402022376 is 67322020441.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14402022373) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25222171 + ... + 25222741.

It is an arithmetic number, because the mean of its divisors is an integer number (229369140).

Almost surely, 214402022376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14402022376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16514578080).

14402022376 is an abundant number, since it is smaller than the sum of its proper divisors (18627133784).

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

14402022376 is a wasteful number, since it uses less digits than its factorization.

14402022376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The spelling of 14402022376 in words is "fourteen billion, four hundred two million, twenty-two thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 37 47 49 56 74 94 98 148 188 196 259 296 329 376 392 518 571 658 1036 1142 1316 1369 1739 1813 2072 2284 2303 2632 2738 3478 3626 3997 4568 4606 5476 6956 7252 7994 9212 9583 10952 12173 13912 14504 15988 18424 19166 21127 24346 26837 27979 31976 38332 42254 48692 53674 55958 64343 67081 76664 84508 85211 97384 107348 111916 128686 134162 147889 169016 170422 187859 214696 223832 257372 268324 295778 340844 375718 450401 514744 536648 591556 681688 751436 781699 900802 992969 1035223 1183112 1315013 1502872 1563398 1801604 1985938 2070446 2630026 3126796 3152807 3603208 3971876 4140892 5260052 5471893 6253592 6305614 6950783 7943752 8281784 10520104 10943786 12611228 13901566 21887572 25222456 27803132 36739853 38303251 43775144 48655481 55606264 73479706 76606502 97310962 146959412 153213004 194621924 257178971 293918824 306426008 389243848 514357942 1028715884 1800252797 2057431768 3600505594 7201011188 14402022376