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341135540004 = 2237210126321841
BaseRepresentation
bin1001111011011010100…
…00110011111100100100
31012121112022200222021210
410331231100303330210
521042121144240004
6420414314311420
733434441150400
oct4755520637444
91177468628253
10341135540004
11121747134356
1256145728570
132622722661c
1412722460100
158d18bec089
hex4f6d433f24

341135540004 has 144 divisors (see below), whose sum is σ = 938705556096. Its totient is φ = 96130944000.

The previous prime is 341135539991. The next prime is 341135540051. The reversal of 341135540004 is 400045531143.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15608124 + ... + 15629964.

It is an arithmetic number, because the mean of its divisors is an integer number (6518788584).

Almost surely, 2341135540004 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 341135540004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469352778048).

341135540004 is an abundant number, since it is smaller than the sum of its proper divisors (597570016092).

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

341135540004 is a wasteful number, since it uses less digits than its factorization.

341135540004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22226 (or 22217 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 341135540004 in words is "three hundred forty-one billion, one hundred thirty-five million, five hundred forty thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 101 147 196 202 263 294 303 404 526 588 606 707 789 1052 1212 1414 1578 1841 2121 2828 3156 3682 4242 4949 5523 7364 8484 9898 11046 12887 14847 19796 21841 22092 25774 26563 29694 38661 43682 51548 53126 59388 65523 77322 79689 87364 106252 131046 152887 154644 159378 185941 262092 305774 318756 371882 458661 557823 611548 743764 917322 1070209 1115646 1301587 1834644 2140418 2205941 2231292 2603174 3210627 3904761 4280836 4411882 5206348 5744183 6421254 6617823 7809522 8823764 11488366 12842508 13235646 15441587 15619044 17232549 22976732 26471292 30883174 34465098 40209281 46324761 61766348 68930196 80418562 92649522 108091109 120627843 160837124 185299044 216182218 241255686 281464967 324273327 432364436 482511372 562929934 580162483 648546654 844394901 1125859868 1160324966 1297093308 1688789802 1740487449 2320649932 3377579604 3480974898 4061137381 6961949796 8122274762 12183412143 16244549524 24366824286 28427961667 48733648572 56855923334 85283885001 113711846668 170567770002 341135540004