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34423240254144 = 2637109234977339
BaseRepresentation
bin1111101001110110010010…
…00000011110001011000000
311111212211101210121001201120
413310323021000132023000
514002442244001113034
6201113452424432240
710151665661244330
oct764731100361300
9144784353531646
1034423240254144
11aa718a5790a25
123a3b555618680
131629136644891
1487014523b0c0
153ea662ae8c49
hex1f4ec901e2c0

34423240254144 has 112 divisors (see below), whose sum is σ = 105044270073600. Its totient is φ = 9744980161536.

The previous prime is 34423240254097. The next prime is 34423240254187. The reversal of 34423240254144 is 44145204232443.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 34423240254096 and 34423240254105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117342174 + ... + 117635165.

Almost surely, 234423240254144 is an apocalyptic number.

It is an amenable number.

34423240254144 is an abundant number, since it is smaller than the sum of its proper divisors (70621029819456).

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

34423240254144 is a wasteful number, since it uses less digits than its factorization.

34423240254144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234977470 (or 234977460 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 42.

Adding to 34423240254144 its reverse (44145204232443), we get a palindrome (78568444486587).

The spelling of 34423240254144 in words is "thirty-four trillion, four hundred twenty-three billion, two hundred forty million, two hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 109 112 168 192 218 224 327 336 436 448 654 672 763 872 1308 1344 1526 1744 2289 2616 3052 3488 4578 5232 6104 6976 9156 10464 12208 18312 20928 24416 36624 48832 73248 146496 234977339 469954678 704932017 939909356 1409864034 1644841373 1879818712 2819728068 3289682746 3759637424 4934524119 5639456136 6579365492 7519274848 9869048238 11278912272 13158730984 15038549696 19738096476 22557824544 25612529951 26317461968 39476192952 45115649088 51225059902 52634923936 76837589853 78952385904 102450119804 105269847872 153675179706 157904771808 179287709657 204900239608 307350359412 315809543616 358575419314 409800479216 537863128971 614700718824 717150838628 819600958432 1075726257942 1229401437648 1434301677256 1639201916864 2151452515884 2458802875296 2868603354512 4302905031768 4917605750592 5737206709024 8605810063536 11474413418048 17211620127072 34423240254144