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4242141004152 = 23323263211313829
BaseRepresentation
bin111101101110110011010…
…011101100000101111000
3120000112201002201012111010
4331232303103230011320
51024000401044113102
613004451312033520
7615325131404412
oct75566323540570
916015632635433
104242141004152
11139609a005a27
125861a45328a0
1324a05591390c
1410946c0ad9b2
1575533d7cd6c
hex3dbb34ec178

4242141004152 has 128 divisors (see below), whose sum is σ = 11114593459200. Its totient is φ = 1346688786432.

The previous prime is 4242141004141. The next prime is 4242141004183. The reversal of 4242141004152 is 2514001412424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306749974 + ... + 306763802.

It is an arithmetic number, because the mean of its divisors is an integer number (86832761400).

Almost surely, 24242141004152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242141004152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557296729600).

4242141004152 is an abundant number, since it is smaller than the sum of its proper divisors (6872452455048).

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

4242141004152 is a wasteful number, since it uses less digits than its factorization.

4242141004152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16237 (or 16233 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 4242141004152 its reverse (2514001412424), we get a palindrome (6756142416576).

The spelling of 4242141004152 in words is "four trillion, two hundred forty-two billion, one hundred forty-one million, four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 263 276 526 552 789 1052 1578 2104 2113 3156 4226 6049 6312 6339 8452 12098 12678 13829 16904 18147 24196 25356 27658 36294 41487 48392 48599 50712 55316 72588 82974 97198 110632 145176 145797 165948 194396 291594 318067 331896 388792 555719 583188 636134 954201 1111438 1166376 1272268 1667157 1908402 2222876 2544536 3334314 3637027 3816804 4445752 6668628 7274054 7633608 10911081 12781537 13337256 14548108 21822162 25563074 29096216 29220677 38344611 43644324 51126148 58441354 76689222 83651621 87288648 87662031 102252296 116882708 153378444 167303242 175324062 233765416 250954863 306756888 334606484 350648124 501909726 669212968 672075571 701296248 1003819452 1344151142 2007638904 2016226713 2688302284 4032453426 5376604568 7685038051 8064906852 15370076102 16129813704 23055114153 30740152204 46110228306 61480304408 92220456612 176755875173 184440913224 353511750346 530267625519 707023500692 1060535251038 1414047001384 2121070502076 4242141004152