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1416678672 = 243311934933
BaseRepresentation
bin101010001110000…
…1100110100010000
310122201201201210110
41110130030310100
510400132204142
6352324201320
750051366343
oct12434146420
93581651713
101416678672
11667750722
12336539240
1319766b206
14d621445a
158458b99c
hex5470cd10

1416678672 has 80 divisors (see below), whose sum is σ = 3798153728. Its totient is φ = 454533120.

The previous prime is 1416678643. The next prime is 1416678719. The reversal of 1416678672 is 2768766141.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284718 + ... + 289650.

Almost surely, 21416678672 is an apocalyptic number.

1416678672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1416678672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899076864).

1416678672 is an abundant number, since it is smaller than the sum of its proper divisors (2381475056).

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

1416678672 is a wasteful number, since it uses less digits than its factorization.

1416678672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5168 (or 5162 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 1416678672 is about 37638.7921166448. The cubic root of 1416678672 is about 1123.1138560040.

The spelling of 1416678672 in words is "one billion, four hundred sixteen million, six hundred seventy-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 193 248 372 386 496 579 744 772 1158 1488 1544 2316 3088 4632 4933 5983 9264 9866 11966 14799 17949 19732 23932 29598 35898 39464 47864 59196 71796 78928 95728 118392 143592 152923 236784 287184 305846 458769 611692 917538 952069 1223384 1835076 1904138 2446768 2856207 3670152 3808276 5712414 7340304 7616552 11424828 15233104 22849656 29514139 45699312 59028278 88542417 118056556 177084834 236113112 354169668 472226224 708339336 1416678672