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140535011032 = 231319831137583
BaseRepresentation
bin1000001011100010001…
…0100001011011011000
3111102202010102020220121
42002320202201123120
54300303430323112
6144321053003024
713103405612143
oct2027042413330
9442663366817
10140535011032
1154667393919
12232a0a83474
1310338684b80
146b326d905a
1539c7ba3407
hex20b88a16d8

140535011032 has 128 divisors (see below), whose sum is σ = 305022412800. Its totient is φ = 60162988032.

The previous prime is 140535011003. The next prime is 140535011081. The reversal of 140535011032 is 230110535041.

It is a happy number.

140535011032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 140535010988 and 140535011006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18529113 + ... + 18536695.

It is an arithmetic number, because the mean of its divisors is an integer number (2382987600).

Almost surely, 2140535011032 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 140535011032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152511206400).

140535011032 is an abundant number, since it is smaller than the sum of its proper divisors (164487401768).

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

140535011032 is a wasteful number, since it uses less digits than its factorization.

140535011032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7817 (or 7813 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 140535011032 its reverse (230110535041), we get a palindrome (370645546073).

The spelling of 140535011032 in words is "one hundred forty billion, five hundred thirty-five million, eleven thousand, thirty-two".

Divisors: 1 2 4 8 13 19 26 38 52 76 83 104 113 152 166 226 247 332 452 494 664 904 988 1079 1469 1577 1976 2147 2158 2938 3154 4294 4316 5876 6308 7583 8588 8632 9379 11752 12616 15166 17176 18758 20501 27911 30332 37516 41002 55822 60664 75032 82004 98579 111644 121927 144077 164008 178201 197158 223288 243854 288154 356402 394316 487708 576308 629389 712804 788632 856879 975416 1152616 1258778 1425608 1713758 1873001 2316613 2517556 3427516 3746002 4633226 5035112 6855032 7492004 8182057 9266452 11139427 11958391 14984008 16280701 16364114 18532904 22278854 23916782 32561402 32728228 44557708 47833564 65122804 65456456 71120957 89115416 95667128 130245608 142241914 155459083 211649113 284483828 310918166 423298226 568967656 621836332 846596452 924572441 1243672664 1351298183 1693192904 1849144882 2702596366 3698289764 5405192732 7396579528 10810385464 17566876379 35133752758 70267505516 140535011032