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145342053440 = 2651923904943
BaseRepresentation
bin1000011101011100001…
…1111011110001000000
3111220011010201022102022
42013113003323301000
54340130031202230
6150434052341012
713333466033063
oct2072703736100
9456133638368
10145342053440
1156703888a41
1224202914768
1310923553a6c
14706accc8da
153ba9be21e5
hex21d70fbc40

145342053440 has 56 divisors (see below), whose sum is σ = 364311346560. Its totient is φ = 55076986368.

The previous prime is 145342053431. The next prime is 145342053449. The reversal of 145342053440 is 44350243541.

145342053440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145342053431) and next prime (145342053449).

It is a super-2 number, since 2×1453420534402 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145342053440.

It is not an unprimeable number, because it can be changed into a prime (145342053449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11946392 + ... + 11958551.

It is an arithmetic number, because the mean of its divisors is an integer number (6505559760).

Almost surely, 2145342053440 is an apocalyptic number.

145342053440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145342053440 is an abundant number, since it is smaller than the sum of its proper divisors (218969293120).

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

145342053440 is a wasteful number, since it uses less digits than its factorization.

145342053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23904979 (or 23904969 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 145342053440 its reverse (44350243541), we get a palindrome (189692296981).

The spelling of 145342053440 in words is "one hundred forty-five billion, three hundred forty-two million, fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 3040 6080 23904943 47809886 95619772 119524715 191239544 239049430 382479088 454193917 478098860 764958176 908387834 956197720 1529916352 1816775668 1912395440 2270969585 3633551336 3824790880 4541939170 7267102672 7649581760 9083878340 14534205344 18167756680 29068410688 36335513360 72671026720 145342053440