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151040245200 = 24352139682067
BaseRepresentation
bin1000110010101010110…
…0110011110111010000
3112102212020212110000120
42030222230303313100
54433312300321300
6153215324350240
713624626621045
oct2145254636720
9472766773016
10151040245200
115906830a829
12253330a5380
1311320c3a970
14744b9b71cc
153de00b03a0
hex232ab33dd0

151040245200 has 120 divisors (see below), whose sum is σ = 521050171488. Its totient is φ = 37179133440.

The previous prime is 151040245183. The next prime is 151040245243. The reversal of 151040245200 is 2542040151.

151040245200 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1510402452002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4825434 + ... + 4856633.

Almost surely, 2151040245200 is an apocalyptic number.

151040245200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151040245200 is an abundant number, since it is smaller than the sum of its proper divisors (370009926288).

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

151040245200 is a wasteful number, since it uses less digits than its factorization.

151040245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9682101 (or 9682090 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 151040245200 its reverse (2542040151), we get a palindrome (153582285351).

The spelling of 151040245200 in words is "one hundred fifty-one billion, forty million, two hundred forty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 975 1040 1200 1300 1560 1950 2600 3120 3900 5200 7800 15600 9682067 19364134 29046201 38728268 48410335 58092402 77456536 96820670 116184804 125866871 145231005 154913072 193641340 232369608 242051675 251733742 290462010 377600613 387282680 464739216 484103350 503467484 580924020 629334355 726155025 755201226 774565360 968206700 1006934968 1161848040 1258668710 1452310050 1510402452 1888003065 1936413400 2013869936 2323696080 2517337420 2904620100 3020804904 3146671775 3776006130 3872826800 5034674840 5809240200 6041609808 6293343550 7552012260 9440015325 10069349680 11618480400 12586687100 15104024520 18880030650 25173374200 30208049040 37760061300 50346748400 75520122600 151040245200