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1142721972 = 223372365719
BaseRepresentation
bin100010000011100…
…1000110110110100
32221122020021212000
41010013020312310
54320014100342
6305220255300
740213655640
oct10407106664
92848207760
101142721972
11537044a27
1227a841530
1315298b462
14aba9dc20
156a4c444c
hex441c8db4

1142721972 has 96 divisors (see below), whose sum is σ = 3533107200. Its totient is φ = 312291936.

The previous prime is 1142721941. The next prime is 1142721989. The reversal of 1142721972 is 2791272411.

1142721972 is a `hidden beast` number, since 11 + 427 + 219 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15472 + ... + 50247.

It is an arithmetic number, because the mean of its divisors is an integer number (36803200).

Almost surely, 21142721972 is an apocalyptic number.

1142721972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1142721972 is an abundant number, since it is smaller than the sum of its proper divisors (2390385228).

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

1142721972 is a wasteful number, since it uses less digits than its factorization.

1142721972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65762 (or 65754 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 1142721972 is about 33804.1709260854. The cubic root of 1142721972 is about 1045.4746962335.

The spelling of 1142721972 in words is "one billion, one hundred forty-two million, seven hundred twenty-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 84 92 108 126 138 161 189 207 252 276 322 378 414 483 621 644 756 828 966 1242 1449 1932 2484 2898 4347 5796 8694 17388 65719 131438 197157 262876 394314 460033 591471 788628 920066 1182942 1380099 1511537 1774413 1840132 2365884 2760198 3023074 3548826 4140297 4534611 5520396 6046148 7097652 8280594 9069222 10580759 12420891 13603833 16561188 18138444 21161518 24841782 27207666 31742277 40811499 42323036 49683564 54415332 63484554 81622998 95226831 126969108 163245996 190453662 285680493 380907324 571360986 1142721972