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145511323140 = 223535321533191
BaseRepresentation
bin1000011110000100100…
…1101001011000000100
3111220120221020002210110
42013201021221120010
54341001344320030
6150502540353020
713340622560541
oct2074111513004
9456527202713
10145511323140
1156790391857
122424b545770
131094c63b851
147085591bc8
153bb99cb1b0
hex21e1269604

145511323140 has 96 divisors (see below), whose sum is σ = 408903780096. Its totient is φ = 38663004160.

The previous prime is 145511323109. The next prime is 145511323163. The reversal of 145511323140 is 41323115541.

145511323140 is digitally balanced in base 3 and base 7, because in such bases 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 145511323098 and 145511323107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45598945 + ... + 45602135.

It is an arithmetic number, because the mean of its divisors is an integer number (4259414376).

Almost surely, 2145511323140 is an apocalyptic number.

145511323140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145511323140 is an abundant number, since it is smaller than the sum of its proper divisors (263392456956).

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

145511323140 is a wasteful number, since it uses less digits than its factorization.

145511323140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5709 (or 5707 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 145511323140 its reverse (41323115541), we get a palindrome (186834438681).

The spelling of 145511323140 in words is "one hundred forty-five billion, five hundred eleven million, three hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 353 706 1059 1412 1765 2118 2153 3191 3530 4236 4306 5295 6382 6459 7060 8612 9573 10590 10765 12764 12918 15955 19146 21180 21530 25836 31910 32295 38292 43060 47865 63820 64590 95730 129180 191460 760009 1126423 1520018 2252846 2280027 3040036 3379269 3800045 4505692 4560054 5632115 6758538 6870223 7600090 9120108 11264230 11400135 13517076 13740446 15200180 16896345 20610669 22528460 22800270 27480892 33792690 34351115 41221338 45600540 67585380 68702230 82442676 103053345 137404460 206106690 412213380 2425188719 4850377438 7275566157 9700754876 12125943595 14551132314 24251887190 29102264628 36377830785 48503774380 72755661570 145511323140