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1323014435040 = 253515111824143
BaseRepresentation
bin10011010000001001110…
…011100011000011100000
311200110221011001212222010
4103100021303203003200
5133134013143410130
62451441234512520
7164404350101544
oct23201163430340
94613834055863
101323014435040
114700a6180941
121944aaa35740
13979b516ba3c
1448069d53a24
15246346370b0
hex13409ce30e0

1323014435040 has 96 divisors (see below), whose sum is σ = 4170255860736. Its totient is φ = 352570165760.

The previous prime is 1323014435023. The next prime is 1323014435051. The reversal of 1323014435040 is 405344103231.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 1323014434989 and 1323014435007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186792 + ... + 1637351.

It is an arithmetic number, because the mean of its divisors is an integer number (43440165216).

Almost surely, 21323014435040 is an apocalyptic number.

1323014435040 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 1323014435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085127930368).

1323014435040 is an abundant number, since it is smaller than the sum of its proper divisors (2847241425696).

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

1323014435040 is a wasteful number, since it uses less digits than its factorization.

1323014435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825672 (or 1825664 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 1323014435040 its reverse (405344103231), we get a palindrome (1728358538271).

The spelling of 1323014435040 in words is "one trillion, three hundred twenty-three billion, fourteen million, four hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1511 3022 4533 6044 7555 9066 12088 15110 18132 22665 24176 30220 36264 45330 48352 60440 72528 90660 120880 145056 181320 241760 362640 725280 1824143 3648286 5472429 7296572 9120715 10944858 14593144 18241430 21889716 27362145 29186288 36482860 43779432 54724290 58372576 72965720 87558864 109448580 145931440 175117728 218897160 291862880 437794320 875588640 2756280073 5512560146 8268840219 11025120292 13781400365 16537680438 22050240584 27562800730 33075360876 41344201095 44100481168 55125601460 66150721752 82688402190 88200962336 110251202920 132301443504 165376804380 220502405840 264602887008 330753608760 441004811680 661507217520 1323014435040