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434361440005405 = 51123243547963367
BaseRepresentation
bin110001011000011001010011…
…1010101011110110100011101
32002221221112210120210021002221
41202300302213111132310131
5423413034212120133110
64135450520225545341
7160330402255600453
oct14260624725366435
92087845716707087
10434361440005405
1111644571a115a90
12408721a74a5251
131584a1534890c3
1479392c4c929d3
153533b1041c7da
hex18b0ca755ed1d

434361440005405 has 96 divisors (see below), whose sum is σ = 608360296642560. Its totient is φ = 295078875315840.

The previous prime is 434361440005303. The next prime is 434361440005433. The reversal of 434361440005405 is 504500044163434.

It is not a de Polignac number, because 434361440005405 - 213 = 434361439997213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6854663032 + ... + 6854726398.

It is an arithmetic number, because the mean of its divisors is an integer number (6337086423360).

Almost surely, 2434361440005405 is an apocalyptic number.

It is an amenable number.

434361440005405 is a deficient number, since it is larger than the sum of its proper divisors (173998856637155).

434361440005405 is a wasteful number, since it uses less digits than its factorization.

434361440005405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68951 (or 68928 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 43.

Adding to 434361440005405 its reverse (504500044163434), we get a palindrome (938861484168839).

The spelling of 434361440005405 in words is "four hundred thirty-four trillion, three hundred sixty-one billion, four hundred forty million, five thousand, four hundred five".

Divisors: 1 5 11 23 43 55 115 215 253 473 529 989 1265 2365 2645 4945 5479 5819 10879 22747 27395 29095 54395 60269 63367 113735 126017 235597 250217 301345 316835 630085 697037 1177985 1251085 1386187 1457441 2591567 2724781 2898391 3485185 5418731 6930935 7287205 12957835 13623905 14491955 16031851 27093655 29972591 31882301 33521143 59606041 62669963 80159255 124630813 149862955 159411505 167605715 298030205 313349815 347187793 368732573 623154065 689369593 1370938943 1441409149 1735938965 1843662865 3446847965 3819065723 6854694715 7207045745 7985319239 14929075099 15855500639 19095328615 39926596195 74645375495 79277503195 87838511629 164219826089 183662342497 343368727277 439192558145 821099130445 918311712485 1716843636385 2020285767467 3777056000047 7897480727371 10101428837335 18885280000235 39487403636855 86872288001081 434361440005405