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145405223240 = 23597107577607
BaseRepresentation
bin1000011101101011010…
…0111010000101001000
3111220022112120200002112
42013122310322011020
54340242214120430
6150444230321452
713335164001434
oct2073264720510
9456275520075
10145405223240
1156736504392
122421bab9288
1310933670744
1470754539c4
153bb051e195
hex21dad3a148

145405223240 has 128 divisors (see below), whose sum is σ = 334752445440. Its totient is φ = 56831901696.

The previous prime is 145405223237. The next prime is 145405223269. The reversal of 145405223240 is 42322504541.

It is a super-2 number, since 2×1454052232402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145405223197 and 145405223206.

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 31 ways as a sum of consecutive naturals, for example, 239547017 + ... + 239547623.

It is an arithmetic number, because the mean of its divisors is an integer number (2615253480).

Almost surely, 2145405223240 is an apocalyptic number.

145405223240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145405223240 is an abundant number, since it is smaller than the sum of its proper divisors (189347222200).

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

145405223240 is a wasteful number, since it uses less digits than its factorization.

145405223240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 145405223240 its reverse (42322504541), we get a palindrome (187727727781).

The spelling of 145405223240 in words is "one hundred forty-five billion, four hundred five million, two hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 97 107 194 214 388 428 485 535 577 607 776 856 970 1070 1154 1214 1940 2140 2308 2428 2885 3035 3880 4280 4616 4856 5770 6070 10379 11540 12140 20758 23080 24280 41516 51895 55969 58879 61739 64949 83032 103790 111938 117758 123478 129898 207580 223876 235516 246956 259796 279845 294395 308695 324745 350239 415160 447752 471032 493912 519592 559690 588790 617390 649490 700478 1119380 1177580 1234780 1298980 1400956 1751195 2238760 2355160 2469560 2597960 2801912 3502390 5988683 6300053 7004780 11977366 12600106 14009560 23954732 25200212 29943415 31500265 33973183 37475573 47909464 50400424 59886830 63000530 67946366 74951146 119773660 126001060 135892732 149902292 169865915 187377865 239547320 252002120 271785464 299804584 339731830 374755730 679463660 749511460 1358927320 1499022920 3635130581 7270261162 14540522324 18175652905 29081044648 36351305810 72702611620 145405223240