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1134505431430 = 257317912771447
BaseRepresentation
bin10000100000100101110…
…010110001000110000110
311000110100122010022010121
4100200211302301012012
5122041431342301210
62225103512412154
7144652050025000
oct20404562610606
94013318108117
101134505431430
113a8160815378
12163a5b6a705a
1382ca26c9117
143cca6033370
151e79eddc6da
hex10825cb1186

1134505431430 has 128 divisors (see below), whose sum is σ = 2398305024000. Its totient is φ = 386230255488.

The previous prime is 1134505431419. The next prime is 1134505431457. The reversal of 1134505431430 is 341345054311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 784038967 + ... + 784040413.

It is an arithmetic number, because the mean of its divisors is an integer number (18736758000).

Almost surely, 21134505431430 is an apocalyptic number.

1134505431430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1134505431430 is an abundant number, since it is smaller than the sum of its proper divisors (1263799592570).

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

1134505431430 is a wasteful number, since it uses less digits than its factorization.

1134505431430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 1134505431430 in words is "one trillion, one hundred thirty-four billion, five hundred five million, four hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 179 245 343 358 490 686 895 1253 1277 1447 1715 1790 2506 2554 2894 3430 6265 6385 7235 8771 8939 10129 12530 12770 14470 17542 17878 20258 43855 44695 50645 61397 62573 70903 87710 89390 101290 122794 125146 141806 228583 259013 306985 312865 354515 438011 457166 496321 518026 613970 625730 709030 876022 992642 1142915 1295065 1600081 1813091 1847819 2190055 2285830 2481605 2590130 3200162 3626182 3695638 4380110 4963210 8000405 9065455 9239095 11200567 12691637 12934733 16000810 18130910 18478190 22401134 25383274 25869466 56002835 63458185 64673665 78403969 88841459 90543131 112005670 126916370 129347330 156807938 177682918 181086262 330759601 392019845 444207295 452715655 633801917 661519202 784039690 888414590 905431310 1267603834 1653798005 2315317207 3169009585 3307596010 4630634414 6338019170 11576586035 16207220449 23153172070 32414440898 81036102245 113450543143 162072204490 226901086286 567252715715 1134505431430