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4011334002 = 2341371139193
BaseRepresentation
bin1110111100011000…
…0001100101110010
3101100120000212210000
43233012001211302
531203400142002
61502012450430
7201255530214
oct35706014562
911316025700
104011334002
111779325675
1293b479a16
134bc08c520
142a0a645b4
1518726361c
hexef181972

4011334002 has 160 divisors (see below), whose sum is σ = 9937952640. Its totient is φ = 1201858560.

The previous prime is 4011333967. The next prime is 4011334037. The reversal of 4011334002 is 2004331104.

4011334002 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4011333967) and next prime (4011334037).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 20784018 + ... + 20784210.

It is an arithmetic number, because the mean of its divisors is an integer number (62112204).

Almost surely, 24011334002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4011334002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4968976320).

4011334002 is an abundant number, since it is smaller than the sum of its proper divisors (5926618638).

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

4011334002 is a wasteful number, since it uses less digits than its factorization.

4011334002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4011334002 is about 63335.0929738009. The cubic root of 4011334002 is about 1588.8989386617.

Adding to 4011334002 its reverse (2004331104), we get a palindrome (6015665106).

The spelling of 4011334002 in words is "four billion, eleven million, three hundred thirty-four thousand, two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 71 78 81 117 139 142 162 193 213 234 278 351 386 417 426 579 639 702 834 923 1053 1158 1251 1278 1737 1807 1846 1917 2106 2502 2509 2769 3474 3614 3753 3834 5018 5211 5421 5538 5751 7506 7527 8307 9869 10422 10842 11259 11502 13703 15054 15633 16263 16614 19738 22518 22581 24921 26827 27406 29607 31266 32526 41109 45162 48789 49842 53654 59214 67743 74763 80481 82218 88821 97578 123327 128297 135486 146367 149526 160962 177642 178139 203229 241443 246654 256594 266463 292734 348751 356278 369981 384891 406458 482886 532926 534417 697502 724329 739962 769782 799389 1046253 1068834 1109943 1154673 1448658 1598778 1603251 1904717 2092506 2172987 2219886 2309346 3138759 3206502 3464019 3809434 4345974 4809753 5714151 6277518 6928038 9416277 9619506 10392057 11428302 14429259 17142453 18832554 20784114 24761321 28248831 28858518 34284906 49522642 51427359 56497662 74283963 102854718 148567926 154282077 222851889 308564154 445703778 668555667 1337111334 2005667001 4011334002