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145301403054 = 231931614211601
BaseRepresentation
bin1000011101010010100…
…0110111010110101110
3111220001022020001120110
42013110220313112232
54340034124344204
6150430041200450
713332463355613
oct2072450672656
9456038201513
10145301403054
1156692943785
12241b1190126
1310917cc0192
14706574a50a
153ba6362889
hex21d4a375ae

145301403054 has 128 divisors (see below), whose sum is σ = 321905111040. Its totient is φ = 43545600000.

The previous prime is 145301403017. The next prime is 145301403059. The reversal of 145301403054 is 450304103541.

It is a super-2 number, since 2×1453014030542 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145301403059) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90755854 + ... + 90757454.

It is an arithmetic number, because the mean of its divisors is an integer number (2514883680).

Almost surely, 2145301403054 is an apocalyptic number.

145301403054 is an abundant number, since it is smaller than the sum of its proper divisors (176603707986).

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

145301403054 is a wasteful number, since it uses less digits than its factorization.

145301403054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138.

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 145301403054 its reverse (450304103541), we get a palindrome (595605506595).

The spelling of 145301403054 in words is "one hundred forty-five billion, three hundred one million, four hundred three thousand, fifty-four".

Divisors: 1 2 3 6 19 31 38 57 61 62 93 114 122 183 186 366 421 589 842 1159 1178 1263 1601 1767 1891 2318 2526 3202 3477 3534 3782 4803 5673 6954 7999 9606 11346 13051 15998 23997 25681 26102 30419 35929 39153 47994 49631 51362 60838 71858 77043 78306 91257 97661 99262 107787 148893 154086 182514 195322 215574 247969 292983 297786 487939 495938 585966 674021 743907 796111 942989 975878 1348042 1463817 1487814 1592222 1855559 1885978 2022063 2388333 2828967 2927634 3027491 3711118 4044126 4776666 5566677 5657934 6054982 9082473 11133354 12806399 15126109 18164946 20894651 25612798 30252218 38419197 41115281 41789302 45378327 57522329 62683953 76838394 82230562 90756654 115044658 123345843 125367906 172566987 246691686 345133974 396998369 781190339 793996738 1190995107 1274573711 1562380678 2343571017 2381990214 2549147422 3823721133 4687142034 7647442266 24216900509 48433801018 72650701527 145301403054