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1140311100040 = 235723374785593
BaseRepresentation
bin10000100101111111110…
…101101000101010001000
311001000100020111211020221
4100211333311220222020
5122140324120200130
62231503544155424
7145245654265360
oct20457765505210
94030306454227
101140311100040
113aa66a985102
12164bbba68b74
13836b9443aa8
143d2970d79a0
151e9de93a87a
hex1097fd68a88

1140311100040 has 128 divisors (see below), whose sum is σ = 3142412444160. Its totient is φ = 363858130944.

The previous prime is 1140311100037. The next prime is 1140311100043. The reversal of 1140311100040 is 400011130411.

It is an interprime number because it is at equal distance from previous prime (1140311100037) and next prime (1140311100043).

It is a junction number, because it is equal to n+sod(n) for n = 1140311099987 and 1140311100023.

It is not an unprimeable number, because it can be changed into a prime (1140311100043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2154517 + ... + 2631076.

It is an arithmetic number, because the mean of its divisors is an integer number (24550097220).

Almost surely, 21140311100040 is an apocalyptic number.

1140311100040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140311100040 is an abundant number, since it is smaller than the sum of its proper divisors (2002101344120).

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

1140311100040 is a wasteful number, since it uses less digits than its factorization.

1140311100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4785671 (or 4785667 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1140311100040 its reverse (400011130411), we get a palindrome (1540322230451).

The spelling of 1140311100040 in words is "one trillion, one hundred forty billion, three hundred eleven million, one hundred thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 37 40 46 56 70 74 92 115 140 148 161 184 185 230 259 280 296 322 370 460 518 644 740 805 851 920 1036 1288 1295 1480 1610 1702 2072 2590 3220 3404 4255 5180 5957 6440 6808 8510 10360 11914 17020 23828 29785 34040 47656 59570 119140 238280 4785593 9571186 19142372 23927965 33499151 38284744 47855930 66998302 95711860 110068639 133996604 167495755 177066941 191423720 220137278 267993208 334991510 354133882 440274556 550343195 669983020 708267764 770480473 880549112 885334705 1100686390 1239468587 1339966040 1416535528 1540960946 1770669410 2201372780 2478937174 3081921892 3541338820 3852402365 4072539643 4402745560 4957874348 6163843784 6197342935 7082677640 7704804730 8145079286 9915748696 12394685870 15409609460 16290158572 20362698215 24789371740 28507777501 30819218920 32580317144 40725396430 49578743480 57015555002 81450792860 114031110004 142538887505 162901585720 228062220008 285077775010 570155550020 1140311100040