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340553054544 = 243191373271969
BaseRepresentation
bin1001111010010101000…
…10110011100101010000
31012120000201122122110020
410331022202303211100
521034423040221134
6420240425503440
733414136126143
oct4751242634520
91176021578406
10340553054544
1112147835940a
1256002641b80
1326163650a81
14126a8d5605a
158cd29ddb49
hex4f4a8b3950

340553054544 has 80 divisors (see below), whose sum is σ = 926743214400. Its totient is φ = 107464347648.

The previous prime is 340553054507. The next prime is 340553054573. The reversal of 340553054544 is 445450355043.

It is a junction number, because it is equal to n+sod(n) for n = 340553054496 and 340553054505.

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, 1116192 + ... + 1388160.

It is an arithmetic number, because the mean of its divisors is an integer number (11584290180).

Almost surely, 2340553054544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340553054544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463371607200).

340553054544 is an abundant number, since it is smaller than the sum of its proper divisors (586190159856).

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

340553054544 is a wasteful number, since it uses less digits than its factorization.

340553054544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273372 (or 273366 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 42.

The spelling of 340553054544 in words is "three hundred forty billion, five hundred fifty-three million, fifty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 1373 2746 4119 5492 8238 10984 16476 21968 26087 32952 52174 65904 78261 104348 156522 208696 271969 313044 417392 543938 626088 815907 1087876 1252176 1631814 2175752 3263628 4351504 5167411 6527256 10334822 13054512 15502233 20669644 31004466 41339288 62008932 82678576 124017864 248035728 373413437 746826874 1120240311 1493653748 2240480622 2987307496 4480961244 5974614992 7094855303 8961922488 14189710606 17923844976 21284565909 28379421212 42569131818 56758842424 85138263636 113517684848 170276527272 340553054544