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151014103040 = 211516199109
BaseRepresentation
bin1000110010100100100…
…1000101100000000000
3112102210102200021201102
42030221021011200000
54433234102244130
6153212552153532
713624161460613
oct2145111054000
9472712607642
10151014103040
1159054584839
12253263988a8
13113186b6928
14744833017a
153ddcb49645
hex2329245800

151014103040 has 96 divisors (see below), whose sum is σ = 362608974000. Its totient is φ = 60361703424.

The previous prime is 151014103021. The next prime is 151014103043. The reversal of 151014103040 is 40301410151.

It is a happy number.

151014103040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151014103043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16574006 + ... + 16583114.

Almost surely, 2151014103040 is an apocalyptic number.

151014103040 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 151014103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181304487000).

151014103040 is an abundant number, since it is smaller than the sum of its proper divisors (211594870960).

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

151014103040 is an equidigital number, since it uses as much as digits as its factorization.

151014103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10755 (or 10735 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 151014103040 its reverse (40301410151), we get a palindrome (191315513191).

The spelling of 151014103040 in words is "one hundred fifty-one billion, fourteen million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 1619 2048 2560 3238 5120 6476 8095 9109 10240 12952 16190 18218 25904 32380 36436 45545 51808 64760 72872 91090 103616 129520 145744 182180 207232 259040 291488 364360 414464 518080 582976 728720 828928 1036160 1165952 1457440 1657856 2072320 2331904 2914880 3315712 4144640 4663808 5829760 8289280 9327616 11659520 14747471 16578560 18655232 23319040 29494942 46638080 58989884 73737355 93276160 117979768 147474710 235959536 294949420 471919072 589898840 943838144 1179797680 1887676288 2359595360 3775352576 4719190720 7550705152 9438381440 15101410304 18876762880 30202820608 37753525760 75507051520 151014103040