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1134442414000 = 24537211575943
BaseRepresentation
bin10000100000100010000…
…010010111111110110000
311000110012020112200110201
4100200202002113332300
5122041314224222000
62225053342004544
7144650353262500
oct20404202277660
94013166480421
101134442414000
113a8129193455
12163a42576754
1382c926338bc
143cc9b90ba00
151e7995e096a
hex10822097fb0

1134442414000 has 120 divisors (see below), whose sum is σ = 3190932115488. Its totient is φ = 388951651200.

The previous prime is 1134442413989. The next prime is 1134442414031. The reversal of 1134442414000 is 4142444311.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1134442414000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5689972 + ... + 5885971.

Almost surely, 21134442414000 is an apocalyptic number.

1134442414000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1134442414000 is an abundant number, since it is smaller than the sum of its proper divisors (2056489701488).

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

1134442414000 is a wasteful number, since it uses less digits than its factorization.

1134442414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11575980 (or 11575957 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1134442414000 its reverse (4142444311), we get a palindrome (1138584858311).

The spelling of 1134442414000 in words is "one trillion, one hundred thirty-four billion, four hundred forty-two million, four hundred fourteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 700 784 875 980 1000 1225 1400 1750 1960 2000 2450 2800 3500 3920 4900 6125 7000 9800 12250 14000 19600 24500 49000 98000 11575943 23151886 46303772 57879715 81031601 92607544 115759430 162063202 185215088 231518860 289398575 324126404 405158005 463037720 567221207 578797150 648252808 810316010 926075440 1134442414 1157594300 1296505616 1446992875 1620632020 2025790025 2268884828 2315188600 2836106035 2893985750 3241264040 4051580050 4537769656 4630377200 5672212070 5787971500 6482528080 8103160100 9075539312 10128950125 11344424140 11575943000 14180530175 16206320200 20257900250 22688848280 23151886000 28361060350 32412640400 40515800500 45377696560 56722120700 70902650875 81031601000 113444241400 141805301750 162063202000 226888482800 283610603500 567221207000 1134442414000