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145200883152 = 243131027322651
BaseRepresentation
bin1000011100111010100…
…1011010010111010000
3111212210022002010012010
42013032221122113100
54334332411230102
6150412050502520
713330133066643
oct2071651322720
9455708063163
10145200883152
1156641127686
1224183594a40
1310900226b50
147056261a5a
153b9c608d6c
hex21cea5a5d0

145200883152 has 80 divisors (see below), whose sum is σ = 404013460928. Its totient is φ = 44670873600.

The previous prime is 145200883151. The next prime is 145200883159. The reversal of 145200883152 is 251388002541.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 145200883152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145200883151) 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, 6399027 + ... + 6421677.

Almost surely, 2145200883152 is an apocalyptic number.

145200883152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145200883152 is an abundant number, since it is smaller than the sum of its proper divisors (258812577776).

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

145200883152 is a wasteful number, since it uses less digits than its factorization.

145200883152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32948 (or 32942 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

Adding to 145200883152 its reverse (251388002541), we get a palindrome (396588885693).

The spelling of 145200883152 in words is "one hundred forty-five billion, two hundred million, eight hundred eighty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 10273 20546 22651 30819 41092 45302 61638 67953 82184 90604 123276 133549 135906 164368 181208 246552 267098 271812 294463 362416 400647 493104 534196 543624 588926 801294 883389 1068392 1087248 1177852 1602588 1766778 2136784 2355704 3205176 3533556 4711408 6410352 7067112 14134224 232693723 465387446 698081169 930774892 1396162338 1861549784 2792324676 3025018399 3723099568 5584649352 6050036798 9075055197 11169298704 12100073596 18150110394 24200147192 36300220788 48400294384 72600441576 145200883152