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40215423040 = 2651317568657
BaseRepresentation
bin100101011101000001…
…101010100001000000
310211210200102011100121
4211131001222201000
51124330122014130
630250312030024
72622401312212
oct453501524100
9124720364317
1040215423040
1116067615611
127964092314
133a3b8a9910
141d370465b2
1510a588ad7a
hex95d06a840

40215423040 has 112 divisors (see below), whose sum is σ = 109195983792. Its totient is φ = 13975289856.

The previous prime is 40215423013. The next prime is 40215423067. The reversal of 40215423040 is 4032451204.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40215423013) and next prime (40215423067).

It can be written as a sum of positive squares in 8 ways, for example, as 2660083776 + 37555339264 = 51576^2 + 193792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40215422996 and 40215423014.

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 15 ways as a sum of consecutive naturals, for example, 213609 + ... + 355048.

It is an arithmetic number, because the mean of its divisors is an integer number (974964141).

Almost surely, 240215423040 is an apocalyptic number.

40215423040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40215423040 is an abundant number, since it is smaller than the sum of its proper divisors (68980560752).

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

40215423040 is a wasteful number, since it uses less digits than its factorization.

40215423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568704 (or 568694 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 40215423040 its reverse (4032451204), we get a palindrome (44247874244).

The spelling of 40215423040 in words is "forty billion, two hundred fifteen million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 64 65 68 80 85 104 130 136 160 170 208 221 260 272 320 340 416 442 520 544 680 832 884 1040 1088 1105 1360 1768 2080 2210 2720 3536 4160 4420 5440 7072 8840 14144 17680 35360 70720 568657 1137314 2274628 2843285 4549256 5686570 7392541 9098512 9667169 11373140 14785082 18197024 19334338 22746280 29570164 36394048 36962705 38668676 45492560 48335845 59140328 73925410 77337352 90985120 96671690 118280656 125673197 147850820 154674704 181970240 193343380 236561312 251346394 295701640 309349408 386686760 473122624 502692788 591403280 618698816 628365985 773373520 1005385576 1182806560 1256731970 1546747040 2010771152 2365613120 2513463940 3093494080 4021542304 5026927880 8043084608 10053855760 20107711520 40215423040