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144407420520 = 233511831318067
BaseRepresentation
bin1000011001111101011…
…0100101111001101000
3111210202000001001002020
42012133112211321220
54331221244424040
6150201224104440
713301356551546
oct2063726457150
9453660031066
10144407420520
1156274251440
1223ba1905120
1310804a2272c
146dbcb18d96
153b52b23cd0
hex219f5a5e68

144407420520 has 128 divisors (see below), whose sum is σ = 478300515840. Its totient is φ = 34586051840.

The previous prime is 144407420513. The next prime is 144407420537. The reversal of 144407420520 is 25024704441.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 549474 + ... + 768593.

It is an arithmetic number, because the mean of its divisors is an integer number (3736722780).

Almost surely, 2144407420520 is an apocalyptic number.

144407420520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144407420520 is an abundant number, since it is smaller than the sum of its proper divisors (333893095320).

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

144407420520 is a wasteful number, since it uses less digits than its factorization.

144407420520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318175 (or 1318171 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 33.

The spelling of 144407420520 in words is "one hundred forty-four billion, four hundred seven million, four hundred twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 83 88 110 120 132 165 166 220 249 264 330 332 415 440 498 660 664 830 913 996 1245 1320 1660 1826 1992 2490 2739 3320 3652 4565 4980 5478 7304 9130 9960 10956 13695 18260 21912 27390 36520 54780 109560 1318067 2636134 3954201 5272268 6590335 7908402 10544536 13180670 14498737 15816804 19771005 26361340 28997474 31633608 39542010 43496211 52722680 57994948 72493685 79084020 86992422 109399561 115989896 144987370 158168040 173984844 217481055 218799122 289974740 328198683 347969688 434962110 437598244 546997805 579949480 656397366 869924220 875196488 1093995610 1203395171 1312794732 1640993415 1739848440 2187991220 2406790342 2625589464 3281986830 3610185513 4375982440 4813580684 6016975855 6563973660 7220371026 9627161368 12033951710 13127947320 14440742052 18050927565 24067903420 28881484104 36101855130 48135806840 72203710260 144407420520