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4340323120432 = 241326733172379
BaseRepresentation
bin111111001010001111011…
…010101111010100110000
3120100221010120200111002011
4333022033122233110300
51032102440204323212
613121530015332304
7625402152542365
oct77121732572460
916327116614064
104340323120432
1114237a2282092
125a1225521094
132563a1911200
1411010392046c
1577d7d6ca4a7
hex3f28f6af530

4340323120432 has 120 divisors (see below), whose sum is σ = 9269970642240. Its totient is φ = 1967338264320.

The previous prime is 4340323120423. The next prime is 4340323120457. The reversal of 4340323120432 is 2340213230434.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4340323120394 and 4340323120403.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59930419 + ... + 60002797.

It is an arithmetic number, because the mean of its divisors is an integer number (77249755352).

Almost surely, 24340323120432 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 4340323120432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4634985321120).

4340323120432 is an abundant number, since it is smaller than the sum of its proper divisors (4929647521808).

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

4340323120432 is a wasteful number, since it uses less digits than its factorization.

4340323120432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72811 (or 72792 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 4340323120432 its reverse (2340213230434), we get a palindrome (6680536350866).

The spelling of 4340323120432 in words is "four trillion, three hundred forty billion, three hundred twenty-three million, one hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 67 104 134 169 208 268 331 338 536 662 676 871 1072 1324 1352 1742 2648 2704 3484 4303 5296 6968 8606 11323 13936 17212 22177 22646 34424 44354 45292 55939 68848 72379 88708 90584 111878 144758 177416 181168 223756 288301 289516 354832 447512 576602 579032 895024 940927 1153204 1158064 1881854 2306408 3747913 3763708 4612816 4849393 7495826 7527416 9698786 12232051 14991652 15054832 19397572 23957449 24464102 29983304 38795144 47914898 48928204 59966608 63042109 77590288 95829796 97856408 126084218 191659592 195712816 252168436 311446837 383319184 504336872 622893674 819547417 1008673744 1245787348 1605149083 1639094834 2491574696 3210298166 3278189668 4048808881 4983149392 6420596332 6556379336 8097617762 12841192664 13112758672 16195235524 20866938079 25682385328 32390471048 41733876158 64780942096 83467752316 166935504632 271270195027 333871009264 542540390054 1085080780108 2170161560216 4340323120432