Search a number
-
+
10142400026236 = 22374143115333713
BaseRepresentation
bin1001001110010111011000…
…1001101001011001111100
31022220121022022000002122011
42103211312021221121330
52312133113401314421
633323204303501004
72064523061526532
oct223456611513174
938817268002564
1010142400026236
113260405448415
1211797b92b7764
1358756901508a
14270c753c6152
15128c616e34e1
hex9397626967c

10142400026236 has 96 divisors (see below), whose sum is σ = 19124922979008. Its totient is φ = 4697629655040.

The previous prime is 10142400026179. The next prime is 10142400026257. The reversal of 10142400026236 is 63262000424101.

It is a junction number, because it is equal to n+sod(n) for n = 10142400026198 and 10142400026207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300828516 + ... + 300862228.

It is an arithmetic number, because the mean of its divisors is an integer number (199217947698).

Almost surely, 210142400026236 is an apocalyptic number.

It is an amenable number.

10142400026236 is a deficient number, since it is larger than the sum of its proper divisors (8982522952772).

10142400026236 is a wasteful number, since it uses less digits than its factorization.

10142400026236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34991 (or 34989 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 10142400026236 in words is "ten trillion, one hundred forty-two billion, four hundred million, twenty-six thousand, two hundred thirty-six".

Divisors: 1 2 4 37 41 43 74 82 86 148 164 172 1153 1517 1591 1763 2306 3034 3182 3526 4612 6068 6364 7052 33713 42661 47273 49579 65231 67426 85322 94546 99158 130462 134852 170644 189092 198316 260924 1247381 1382233 1449659 1749101 1834423 2032739 2494762 2764466 2899318 3498202 3668846 4065478 4989524 5528932 5798636 6996404 7337692 8130956 38871089 51142621 53637383 59436019 75211343 77742178 102285242 107274766 118872038 150422686 155484356 204570484 214549532 237744076 300845372 1438230293 1593714649 1671456827 2199132703 2876460586 3187429298 3342913654 4398265406 5752921172 6374858596 6685827308 8796530812 58967442013 61843902599 68529729907 117934884026 123687805198 137059459814 235869768052 247375610396 274118919628 2535600006559 5071200013118 10142400026236