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1148332644240 = 2435281136112511
BaseRepresentation
bin10000101101011101111…
…101011001011110010000
311001210001021110111020120
4100231131331121132100
5122303241124103430
62235311533510240
7145651516265535
oct20553575313620
94053037414216
101148332644240
11403006927a81
1216667a342380
138439728b152
143d8185acd8c
151ed0dc8e610
hex10b5df59790

1148332644240 has 160 divisors (see below), whose sum is σ = 3575410301952. Its totient is φ = 304883712000.

The previous prime is 1148332644167. The next prime is 1148332644253. The reversal of 1148332644240 is 424462338411.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1148332644192 and 1148332644201.

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, 91779585 + ... + 91792095.

Almost surely, 21148332644240 is an apocalyptic number.

1148332644240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1148332644240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787705150976).

1148332644240 is an abundant number, since it is smaller than the sum of its proper divisors (2427077657712).

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

1148332644240 is a wasteful number, since it uses less digits than its factorization.

1148332644240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14169 (or 14163 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 1148332644240 in words is "one trillion, one hundred forty-eight billion, three hundred thirty-two million, six hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 281 562 843 1124 1361 1405 1686 2248 2722 2810 3372 4083 4215 4496 5444 5620 6744 6805 8166 8430 10888 11240 12511 13488 13610 16332 16860 20415 21776 22480 25022 27220 32664 33720 37533 40830 50044 54440 62555 65328 67440 75066 81660 100088 108880 125110 150132 163320 187665 200176 250220 300264 326640 375330 382441 500440 600528 750660 764882 1000880 1147323 1501320 1529764 1912205 2294646 3002640 3059528 3515591 3824410 4589292 5736615 6119056 7031182 7648820 9178584 10546773 11473230 14062364 15297640 17027471 17577955 18357168 21093546 22946460 28124728 30595280 34054942 35155910 42187092 45892920 51082413 52733865 56249456 68109884 70311820 84374184 85137355 91785840 102164826 105467730 136219768 140623640 168748368 170274710 204329652 210935460 255412065 272439536 281247280 340549420 408659304 421870920 510824130 681098840 817318608 843741840 1021648260 1362197680 2043296520 4086593040 4784719351 9569438702 14354158053 19138877404 23923596755 28708316106 38277754808 47847193510 57416632212 71770790265 76555509616 95694387020 114833264424 143541580530 191388774040 229666528848 287083161060 382777548080 574166322120 1148332644240