Search a number
-
+
150153454000 = 2453118298233
BaseRepresentation
bin1000101111010111010…
…1111110000110110000
3112100120110012210012001
42023311311332012300
54430003241012000
6152551325343344
713563641205004
oct2136565760660
9470513183161
10150153454000
115875278a440
1225126107b54
131120c2ba544
1473a5cd8704
153d8c2e246a
hex22f5d7e1b0

150153454000 has 160 divisors (see below), whose sum is σ = 396603455040. Its totient is φ = 54528768000.

The previous prime is 150153453991. The next prime is 150153454069. The reversal of 150153454000 is 454351051.

It is a self number, because there is not a number n which added to its sum of digits gives 150153454000.

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, 18233884 + ... + 18242116.

It is an arithmetic number, because the mean of its divisors is an integer number (2478771594).

Almost surely, 2150153454000 is an apocalyptic number.

150153454000 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 150153454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198301727520).

150153454000 is an abundant number, since it is smaller than the sum of its proper divisors (246450001040).

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

150153454000 is a wasteful number, since it uses less digits than its factorization.

150153454000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9096 (or 9080 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 150153454000 in words is "one hundred fifty billion, one hundred fifty-three million, four hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 829 880 1000 1100 1375 1658 2000 2200 2750 3316 4145 4400 5500 6632 8233 8290 9119 11000 13264 16466 16580 18238 20725 22000 32932 33160 36476 41165 41450 45595 65864 66320 72952 82330 82900 90563 91190 103625 131728 145904 164660 165800 181126 182380 205825 207250 227975 329320 331600 362252 364760 411650 414500 452815 455950 658640 724504 729520 823300 829000 905630 911900 1029125 1139875 1449008 1646600 1658000 1811260 1823800 2058250 2264075 2279750 3293200 3622520 3647600 4116500 4528150 4559500 6825157 7245040 8233000 9056300 9119000 11320375 13650314 16466000 18112600 18238000 22640750 27300628 34125785 36225200 45281500 54601256 68251570 75076727 90563000 109202512 136503140 150153454 170628925 181126000 273006280 300306908 341257850 375383635 546012560 600613816 682515700 750767270 853144625 1201227632 1365031400 1501534540 1706289250 1876918175 2730062800 3003069080 3412578500 3753836350 6006138160 6825157000 7507672700 9384590875 13650314000 15015345400 18769181750 30030690800 37538363500 75076727000 150153454000