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145641532440 = 233512711718161
BaseRepresentation
bin1000011110100011101…
…0010110110000011000
3111220221000020102101010
42013220322112300120
54341233213014230
6150523511253520
713344063412515
oct2075072266030
9456830212333
10145641532440
1156847936a48
122428707a2a0
13109705cb681
1470989a830c
153bc614b9b0
hex21e8e96c18

145641532440 has 128 divisors (see below), whose sum is σ = 440795013120. Its totient is φ = 38494310400.

The previous prime is 145641532411. The next prime is 145641532441. The reversal of 145641532440 is 44235146541.

It is a super-2 number, since 2×1456415324402 (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 (145641532441) by changing a digit.

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, 17841960 + ... + 17850120.

It is an arithmetic number, because the mean of its divisors is an integer number (3443711040).

Almost surely, 2145641532440 is an apocalyptic number.

145641532440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145641532440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220397506560).

145641532440 is an abundant number, since it is smaller than the sum of its proper divisors (295153480680).

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

145641532440 is a wasteful number, since it uses less digits than its factorization.

145641532440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9473 (or 9469 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 145641532440 its reverse (44235146541), we get a palindrome (189876678981).

The spelling of 145641532440 in words is "one hundred forty-five billion, six hundred forty-one million, five hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1171 1270 1524 1905 2342 2540 3048 3513 3810 4684 5080 5855 7026 7620 8161 9368 11710 14052 15240 16322 17565 23420 24483 28104 32644 35130 40805 46840 48966 65288 70260 81610 97932 122415 140520 148717 163220 195864 244830 297434 326440 446151 489660 594868 743585 892302 979320 1036447 1189736 1487170 1784604 2072894 2230755 2974340 3109341 3569208 4145788 4461510 5182235 5948680 6218682 8291576 8923020 9556531 10364470 12437364 15546705 17846040 19113062 20728940 24874728 28669593 31093410 38226124 41457880 47782655 57339186 62186820 76452248 95565310 114678372 124373640 143347965 191130620 229356744 286695930 382261240 573391860 1146783720 1213679437 2427358874 3641038311 4854717748 6068397185 7282076622 9709435496 12136794370 14564153244 18205191555 24273588740 29128306488 36410383110 48547177480 72820766220 145641532440