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153041344000 = 295317140663
BaseRepresentation
bin1000111010000111111…
…0011001011000000000
3112122000201021210111221
42032201332121120000
510001412041002000
6154150051044424
714025335650246
oct2164176313000
9478021253457
10153041344000
11599a4937996
12257b12a0714
131157c6ab1ac
14759b67a796
153eaaadd61a
hex23a1f99600

153041344000 has 160 divisors (see below), whose sum is σ = 404069155776. Its totient is φ = 57615155200.

The previous prime is 153041343979. The next prime is 153041344009. The reversal of 153041344000 is 443140351.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153041344009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1017669 + ... + 1158331.

Almost surely, 2153041344000 is an apocalyptic number.

153041344000 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 153041344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202034577888).

153041344000 is an abundant number, since it is smaller than the sum of its proper divisors (251027811776).

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

153041344000 is an equidigital number, since it uses as much as digits as its factorization.

153041344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140713 (or 140687 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 153041344000 its reverse (443140351), we get a palindrome (153484484351).

The spelling of 153041344000 in words is "one hundred fifty-three billion, forty-one million, three hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 128 136 160 170 200 250 256 272 320 340 400 425 500 512 544 640 680 800 850 1000 1088 1280 1360 1600 1700 2000 2125 2176 2560 2720 3200 3400 4000 4250 4352 5440 6400 6800 8000 8500 8704 10880 12800 13600 16000 17000 21760 27200 32000 34000 43520 54400 64000 68000 108800 136000 140663 217600 272000 281326 544000 562652 703315 1088000 1125304 1406630 2250608 2391271 2813260 3516575 4501216 4782542 5626520 7033150 9002432 9565084 11253040 11956355 14066300 17582875 18004864 19130168 22506080 23912710 28132600 35165750 36009728 38260336 45012160 47825420 56265200 59781775 70331500 72019456 76520672 90024320 95650840 112530400 119563550 140663000 153041344 180048640 191301680 225060800 239127100 281326000 298908875 306082688 360097280 382603360 450121600 478254200 562652000 597817750 612165376 765206720 900243200 956508400 1125304000 1195635500 1224330752 1530413440 1800486400 1913016800 2250608000 2391271000 3060826880 3826033600 4501216000 4782542000 6121653760 7652067200 9002432000 9565084000 15304134400 19130168000 30608268800 38260336000 76520672000 153041344000