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145406653515 = 32529227490849
BaseRepresentation
bin1000011101101011101…
…0010111010001001011
3111220022122021100001200
42013122322113101023
54340243100403030
6150444321115243
713335212106354
oct2073272272113
9456278240050
10145406653515
11567372a0a32
1224220488b23
1310933a51766
147075706d2b
153bb0702d60
hex21dae9744b

145406653515 has 48 divisors (see below), whose sum is σ = 261878292000. Its totient is φ = 74546067456.

The previous prime is 145406653493. The next prime is 145406653519. The reversal of 145406653515 is 515356604541.

145406653515 is a `hidden beast` number, since 1 + 4 + 5 + 40 + 66 + 535 + 15 = 666.

It is not a de Polignac number, because 145406653515 - 212 = 145406649419 is a prime.

It is a super-2 number, since 2×1454066535152 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (145406653519) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50811 + ... + 541659.

It is an arithmetic number, because the mean of its divisors is an integer number (5455797750).

Almost surely, 2145406653515 is an apocalyptic number.

145406653515 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145406653515 is a deficient number, since it is larger than the sum of its proper divisors (116471638485).

145406653515 is a wasteful number, since it uses less digits than its factorization.

145406653515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491116 (or 491113 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 145406653515 in words is "one hundred forty-five billion, four hundred six million, six hundred fifty-three thousand, five hundred fifteen".

Divisors: 1 3 5 9 15 29 45 87 145 227 261 435 681 1135 1305 2043 3405 6583 10215 19749 32915 59247 98745 296235 490849 1472547 2454245 4417641 7362735 14234621 22088205 42703863 71173105 111422723 128111589 213519315 334268169 557113615 640557945 1002804507 1671340845 3231258967 5014022535 9693776901 16156294835 29081330703 48468884505 145406653515