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11142605040 = 2435729228707
BaseRepresentation
bin10100110000010011…
…01010100011110000
31001202112202222120120
422120021222203300
5140310001330130
65041400410240
7543060402660
oct123011524360
931675688516
1011142605040
1147a878a0a6
1221ab776980
131087637628
14779bd21a0
1545335c910
hex29826a8f0

11142605040 has 160 divisors (see below), whose sum is σ = 40838100480. Its totient is φ = 2459046912.

The previous prime is 11142604951. The next prime is 11142605051. The reversal of 11142605040 is 4050624111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11142605040.

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, 65634 + ... + 163073.

It is an arithmetic number, because the mean of its divisors is an integer number (255238128).

Almost surely, 211142605040 is an apocalyptic number.

11142605040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11142605040 is an abundant number, since it is smaller than the sum of its proper divisors (29695495440).

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

11142605040 is a wasteful number, since it uses less digits than its factorization.

11142605040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228759 (or 228753 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 11142605040 in words is "eleven billion, one hundred forty-two million, six hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 35 40 42 48 56 58 60 70 80 84 87 105 112 116 120 140 145 168 174 203 210 232 240 280 290 336 348 406 420 435 464 560 580 609 696 812 840 870 1015 1160 1218 1392 1624 1680 1740 2030 2320 2436 3045 3248 3480 4060 4872 6090 6960 8120 9744 12180 16240 24360 48720 228707 457414 686121 914828 1143535 1372242 1600949 1829656 2287070 2744484 3201898 3430605 3659312 4574140 4802847 5488968 6403796 6632503 6861210 8004745 9148280 9605694 10977936 12807592 13265006 13722420 16009490 18296560 19211388 19897509 24014235 25615184 26530012 27444840 32018980 33162515 38422776 39795018 46427521 48028470 53060024 54889680 64037960 66325030 76845552 79590036 92855042 96056940 99487545 106120048 128075920 132650060 139282563 159180072 185710084 192113880 198975090 232137605 265300120 278565126 318360144 371420168 384227760 397950180 464275210 530600240 557130252 696412815 742840336 795900360 928550420 1114260504 1392825630 1591800720 1857100840 2228521008 2785651260 3714201680 5571302520 11142605040