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145402153020 = 223252335121293
BaseRepresentation
bin1000011101101010100…
…1001100100000111100
3111220022022210200112200
42013122221030200330
54340240422344040
6150444040431500
713335125623365
oct2073251144074
9456268720480
10145402153020
11567347a7713
122421aa78590
1310932b37147
147074c94b6c
153bb0114630
hex21daa4c83c

145402153020 has 72 divisors (see below), whose sum is σ = 460229436576. Its totient is φ = 37088084352.

The previous prime is 145402153007. The next prime is 145402153069. The reversal of 145402153020 is 20351204541.

145402153020 is a `hidden beast` number, since 145 + 4 + 0 + 215 + 302 + 0 = 666.

It is a super-2 number, since 2×1454021530202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17556507 + ... + 17564786.

It is an arithmetic number, because the mean of its divisors is an integer number (6392075508).

Almost surely, 2145402153020 is an apocalyptic number.

145402153020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145402153020 is an abundant number, since it is smaller than the sum of its proper divisors (314827283556).

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

145402153020 is a wasteful number, since it uses less digits than its factorization.

145402153020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35121331 (or 35121326 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 145402153020 its reverse (20351204541), we get a palindrome (165753357561).

The spelling of 145402153020 in words is "one hundred forty-five billion, four hundred two million, one hundred fifty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 35121293 70242586 105363879 140485172 175606465 210727758 316091637 351212930 421455516 526819395 632183274 702425860 807789739 1053638790 1264366548 1580458185 1615579478 2107277580 2423369217 3160916370 3231158956 4038948695 4846738434 6321832740 7270107651 8077897390 9693476868 12116846085 14540215302 16155794780 24233692170 29080430604 36350538255 48467384340 72701076510 145402153020