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13454021430 = 2345671731433
BaseRepresentation
bin11001000011110110…
…00001001100110110
31021201122010002210000
430201323001030312
5210023212141210
610103010212130
7654255203163
oct144173011466
937648102700
1013454021430
115784498483
122735884046
131365478c35
14918b9306a
1553b236ac0
hex321ec1336

13454021430 has 160 divisors (see below), whose sum is σ = 36954317664. Its totient is φ = 3511309824.

The previous prime is 13454021411. The next prime is 13454021489. The reversal of 13454021430 is 3412045431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13454021394 and 13454021403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9387994 + ... + 9389426.

Almost surely, 213454021430 is an apocalyptic number.

13454021430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13454021430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18477158832).

13454021430 is an abundant number, since it is smaller than the sum of its proper divisors (23500296234).

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

13454021430 is a wasteful number, since it uses less digits than its factorization.

13454021430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 13454021430 its reverse (3412045431), we get a palindrome (16866066861).

The spelling of 13454021430 in words is "thirteen billion, four hundred fifty-four million, twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 81 90 134 135 162 173 201 270 335 346 402 405 519 603 670 810 865 1005 1038 1206 1433 1557 1730 1809 2010 2595 2866 3015 3114 3618 4299 4671 5190 5427 6030 7165 7785 8598 9045 9342 10854 11591 12897 14013 14330 15570 18090 21495 23182 23355 25794 27135 28026 34773 38691 42990 46710 54270 57955 64485 69546 70065 77382 96011 104319 115910 116073 128970 140130 173865 192022 193455 208638 232146 247909 288033 312957 347730 386910 480055 495818 521595 576066 580365 625914 743727 864099 938871 960110 1043190 1160730 1239545 1440165 1487454 1564785 1728198 1877742 2231181 2479090 2592297 2880330 3129570 3718635 4320495 4462362 4694355 5184594 6693543 7437270 7776891 8640990 9388710 11155905 12961485 13387086 15553782 16609903 20080629 22311810 25922970 33219806 33467715 38884455 40161258 49829709 66935430 77768910 83049515 99659418 100403145 149489127 166099030 200806290 249148545 298978254 448467381 498297090 747445635 896934762 1345402143 1494891270 2242336905 2690804286 4484673810 6727010715 13454021430